105638256 has 100 divisors (see below), whose sum is σ = 314153752. Its totient is φ = 34245504.

The previous prime is 105638243. The next prime is 105638279. The reversal of 105638256 is 652836501.

105638256 is a `hidden beast` number, since 10 + 5 + 638 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×105638256² = 22318882261443072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105638256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46851 + ... + 49053.

Almost surely, 2^105638256 is an apocalyptic number.

105638256 is a gapful number since it is divisible by the number (16) 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 105638256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157076876).

105638256 is an abundant number, since it is smaller than the sum of its proper divisors (208515496).

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

105638256 is a wasteful number, since it uses less digits than its factorization.

105638256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 105638256 is about 10278.0472853553. The cubic root of 105638256 is about 472.7233713323.

The spelling of 105638256 in words is "one hundred five million, six hundred thirty-eight thousand, two hundred fifty-six".