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105356004 = 223131739727
BaseRepresentation
bin1100100011110…
…01101011100100
321100020122021020
412101321223210
5203432343004
614242051140
72416340235
oct621715344
9240218236
10105356004
115451a586
122b349ab0
1318a9a640
14ddc708c
1593b18d9
hex6479ae4

105356004 has 48 divisors (see below), whose sum is σ = 280320768. Its totient is φ = 30509568.

The previous prime is 105356003. The next prime is 105356033. The reversal of 105356004 is 400653501.

It is a super-2 number, since 2×1053560042 = 22199775157696032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105356003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17212 + ... + 22515.

It is an arithmetic number, because the mean of its divisors is an integer number (5840016).

Almost surely, 2105356004 is an apocalyptic number.

It is an amenable number.

105356004 is an abundant number, since it is smaller than the sum of its proper divisors (174964764).

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

105356004 is a wasteful number, since it uses less digits than its factorization.

105356004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39764 (or 39762 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105356004 is about 10264.3072830075. The cubic root of 105356004 is about 472.3019768735.

The spelling of 105356004 in words is "one hundred five million, three hundred fifty-six thousand, four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 39727 79454 119181 158908 238362 476724 516451 675359 1032902 1350718 1549353 2026077 2065804 2701436 3098706 4052154 6197412 8104308 8779667 17559334 26339001 35118668 52678002 105356004