105904656 has 240 divisors, whose sum is σ = 360185280. Its totient is φ = 28615680.

The previous prime is 105904637. The next prime is 105904691. The reversal of 105904656 is 656409501.

105904656 is a `hidden beast` number, since 1 + 0 + 590 + 4 + 65 + 6 = 666.

It is a super-2 number, since 2×105904656² = 22431592324956672, 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 105904656.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 761835 + ... + 761973.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2^105904656 is an apocalyptic number.

105904656 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 105904656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180092640).

105904656 is an abundant number, since it is smaller than the sum of its proper divisors (254280624).

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

105904656 is a wasteful number, since it uses less digits than its factorization.

105904656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105904656 is about 10290.9987853463. The cubic root of 105904656 is about 473.1204111885.

The spelling of 105904656 in words is "one hundred five million, nine hundred four thousand, six hundred fifty-six".