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106041115261520 = 24523223367704183
BaseRepresentation
bin11000000111000110011111…
…000000011011101001010000
3111220110102122122110202212122
4120013012133000123221100
5102344334201001332040
61013310341004313412
731223134455462515
oct3007063700335120
9456412578422778
10106041115261520
113087386a0960aa
12ba8758ab42868
13472283262064a
141c285bb36130c
15c3d58d0dc1b5
hex60719f01ba50

106041115261520 has 160 divisors (see below), whose sum is σ = 259123127058432. Its totient is φ = 40280201888256.

The previous prime is 106041115261519. The next prime is 106041115261537. The reversal of 106041115261520 is 25162511140601.

It is a super-2 number, since 2×1060411152615202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150235349 + ... + 150939531.

Almost surely, 2106041115261520 is an apocalyptic number.

106041115261520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106041115261520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129561563529216).

106041115261520 is an abundant number, since it is smaller than the sum of its proper divisors (153082011796912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106041115261520 is a wasteful number, since it uses less digits than its factorization.

106041115261520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704809 (or 704803 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The spelling of 106041115261520 in words is "one hundred six trillion, forty-one billion, one hundred fifteen million, two hundred sixty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 223 230 367 368 446 460 734 892 920 1115 1468 1784 1835 1840 2230 2936 3568 3670 4460 5129 5872 7340 8441 8920 10258 14680 16882 17840 20516 25645 29360 33764 41032 42205 51290 67528 81841 82064 84410 102580 135056 163682 168820 205160 327364 337640 409205 410320 654728 675280 704183 818410 1309456 1408366 1636820 1882343 2816732 3273640 3520915 3764686 5633464 6547280 7041830 7529372 9411715 11266928 14083660 15058744 16196209 18823430 28167320 30117488 32392418 37646860 56334640 64784836 75293720 80981045 129569672 150587440 157032809 161962090 258435161 259139344 314065618 323924180 516870322 628131236 647848360 785164045 1033740644 1256262472 1292175805 1295696720 1570328090 2067481288 2512524944 2584351610 3140656180 3611754607 4134962576 5168703220 5944008703 6281312360 7223509214 10337406440 11888017406 12562624720 14447018428 18058773035 20674812880 23776034812 28894036856 29720043515 36117546070 47552069624 57631040903 57788073712 59440087030 72235092140 95104139248 115262081806 118880174060 144470184280 230524163612 237760348120 288155204515 288940368560 461048327224 475520696240 576310409030 922096654448 1152620818060 1325513940769 2305241636120 2651027881538 4610483272240 5302055763076 6627569703845 10604111526152 13255139407690 21208223052304 26510278815380 53020557630760 106041115261520