105683656 has 64 divisors (see below), whose sum is σ = 224481600. Its totient is φ = 46303488.

The previous prime is 105683647. The next prime is 105683663. The reversal of 105683656 is 656386501.

It is a super-2 number, since 2×105683656² = 22338070291052672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201811 + ... + 202333.

It is an arithmetic number, because the mean of its divisors is an integer number (3507525).

Almost surely, 2^105683656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105683656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112240800).

105683656 is an abundant number, since it is smaller than the sum of its proper divisors (118797944).

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

105683656 is a wasteful number, since it uses less digits than its factorization.

105683656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 105683656 is about 10280.2556388448. The cubic root of 105683656 is about 472.7910821791.

The spelling of 105683656 in words is "one hundred five million, six hundred eighty-three thousand, six hundred fifty-six".