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105858004 = 22729130367
BaseRepresentation
bin1100100111101…
…00001111010100
321101012010212211
412103310033110
5204044424004
614300523204
72423530630
oct623641724
9241163784
10105858004
115483275a
122b550504
1318c14c95
14100b7dc0
159460504
hex64f43d4

105858004 has 24 divisors (see below), whose sum is σ = 219018240. Its totient is φ = 43802976.

The previous prime is 105858001. The next prime is 105858007. The reversal of 105858004 is 400858501.

It is an interprime number because it is at equal distance from previous prime (105858001) and next prime (105858007).

It is a super-2 number, since 2×1058580042 = 22411834021728032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105858001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64372 + ... + 65995.

It is an arithmetic number, because the mean of its divisors is an integer number (9125760).

Almost surely, 2105858004 is an apocalyptic number.

105858004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105858004 is an abundant number, since it is smaller than the sum of its proper divisors (113160236).

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

105858004 is a wasteful number, since it uses less digits than its factorization.

105858004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130407 (or 130405 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 105858004 is about 10288.7318946506. The cubic root of 105858004 is about 473.0509296503.

The spelling of 105858004 in words is "one hundred five million, eight hundred fifty-eight thousand, four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 130367 260734 521468 912569 1825138 3650276 3780643 7561286 15122572 26464501 52929002 105858004