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106344504 = 23327243701
BaseRepresentation
bin1100101011010…
…11000000111000
321102002212020100
412111223000320
5204211011004
614315155400
72430625200
oct625530070
9242085210
10106344504
1155035222
122b745b60
1319055556
14101a3400
159509739
hex656b038

106344504 has 144 divisors (see below), whose sum is σ = 343320120. Its totient is φ = 29635200.

The previous prime is 106344481. The next prime is 106344521. The reversal of 106344504 is 405443601.

It is a super-2 number, since 2×1063445042 = 22618307062012032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151354 + ... + 152054.

Almost surely, 2106344504 is an apocalyptic number.

106344504 is a gapful number since it is divisible by the number (14) 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 106344504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171660060).

106344504 is an abundant number, since it is smaller than the sum of its proper divisors (236975616).

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

106344504 is a wasteful number, since it uses less digits than its factorization.

106344504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 106344504 is about 10312.3471625038. The cubic root of 106344504 is about 473.7745015094.

The spelling of 106344504 in words is "one hundred six million, three hundred forty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 49 56 63 72 84 86 98 126 129 147 168 172 196 252 258 294 301 344 387 392 441 504 516 588 602 701 774 882 903 1032 1176 1204 1402 1548 1764 1806 2103 2107 2408 2709 2804 3096 3528 3612 4206 4214 4907 5418 5608 6309 6321 7224 8412 8428 9814 10836 12618 12642 14721 16824 16856 18963 19628 21672 25236 25284 29442 30143 34349 37926 39256 44163 50472 50568 58884 60286 68698 75852 88326 90429 103047 117768 120572 137396 151704 176652 180858 206094 211001 241144 271287 274792 309141 353304 361716 412188 422002 542574 618282 633003 723432 824376 844004 1085148 1236564 1266006 1477007 1688008 1899009 2170296 2473128 2532012 2954014 3798018 4431021 5064024 5908028 7596036 8862042 11816056 13293063 15192072 17724084 26586126 35448168 53172252 106344504