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106415655320 = 235131583129277
BaseRepresentation
bin110001100011011011…
…1100000100110011000
3101011200021211101211102
41203012313200212120
53220414401432240
6120515304450532
710455036100652
oct1430667404630
9334607741742
10106415655320
1141148954987
121875a479a48
13a05ba3b7b0
14521714b6d2
152b7c5c9815
hex18c6de0998

106415655320 has 64 divisors (see below), whose sum is σ = 258018203520. Its totient is φ = 39266809344.

The previous prime is 106415655271. The next prime is 106415655347. The reversal of 106415655320 is 23556514601.

It is a super-2 number, since 2×1064156553202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758522 + ... + 887798.

It is an arithmetic number, because the mean of its divisors is an integer number (4031534430).

Almost surely, 2106415655320 is an apocalyptic number.

106415655320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106415655320 is an abundant number, since it is smaller than the sum of its proper divisors (151602548200).

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

106415655320 is a wasteful number, since it uses less digits than its factorization.

106415655320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130884 (or 130880 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 106415655320 in words is "one hundred six billion, four hundred fifteen million, six hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1583 3166 6332 7915 12664 15830 20579 31660 41158 63320 82316 102895 129277 164632 205790 258554 411580 517108 646385 823160 1034216 1292770 1680601 2585540 3361202 5171080 6722404 8403005 13444808 16806010 33612020 67224040 204645491 409290982 818581964 1023227455 1637163928 2046454910 2660391383 4092909820 5320782766 8185819640 10641565532 13301956915 21283131064 26603913830 53207827660 106415655320