105070656 has 112 divisors (see below), whose sum is σ = 291307520. Its totient is φ = 33384960.

The previous prime is 105070649. The next prime is 105070717. The reversal of 105070656 is 656070501.

It is a super-2 number, since 2×105070656² = 22079685504540672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755835 + ... + 755973.

It is an arithmetic number, because the mean of its divisors is an integer number (2600960).

Almost surely, 2^105070656 is an apocalyptic number.

105070656 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 105070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145653760).

105070656 is an abundant number, since it is smaller than the sum of its proper divisors (186236864).

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

105070656 is a wasteful number, since it uses less digits than its factorization.

105070656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 105070656 is about 10250.3978459375. The cubic root of 105070656 is about 471.8751944271.

The spelling of 105070656 in words is "one hundred five million, seventy thousand, six hundred fifty-six".