105670656 has 360 divisors, whose sum is σ = 395405010. Its totient is φ = 27869184.

The previous prime is 105670613. The next prime is 105670673. The reversal of 105670656 is 656076501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 4064256 = 10080^2 + 2016^2 .

It is a super-2 number, since 2×105670656² = 22332575078940672, 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 105670656.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8128506 + ... + 8128518.

Almost surely, 2^105670656 is an apocalyptic number.

105670656 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 105670656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197702505).

105670656 is an abundant number, since it is smaller than the sum of its proper divisors (289734354).

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

105670656 is an equidigital number, since it uses as much as digits as its factorization.

105670656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 105670656 is about 10279.6233394031. The cubic root of 105670656 is about 472.7716955923.

It can be divided in two parts, 105 and 670656, that added together give a square (670761 = 819²).

The spelling of 105670656 in words is "one hundred five million, six hundred seventy thousand, six hundred fifty-six".