105657975654 has 64 divisors (see below), whose sum is σ = 263963197440. Its totient is φ = 27391093920.

The previous prime is 105657975613. The next prime is 105657975679. The reversal of 105657975654 is 456579756501.

It is a happy number.

It is a super-2 number, since 2×105657975654² (a number of 23 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, 22987 + ... + 460265.

It is an arithmetic number, because the mean of its divisors is an integer number (4124424960).

Almost surely, 2^105657975654 is an apocalyptic number.

105657975654 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105657975654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131981598720).

105657975654 is an abundant number, since it is smaller than the sum of its proper divisors (158305221786).

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

105657975654 is a wasteful number, since it uses less digits than its factorization.

105657975654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437825.

The product of its (nonzero) digits is 39690000, while the sum is 60.

The spelling of 105657975654 in words is "one hundred five billion, six hundred fifty-seven million, nine hundred seventy-five thousand, six hundred fifty-four".