105684636 has 48 divisors (see below), whose sum is σ = 251935488. Its totient is φ = 34473600.

The previous prime is 105684589. The next prime is 105684653. The reversal of 105684636 is 636486501.

It is a super-2 number, since 2×105684636² = 22338484572904992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105684594 and 105684603.

It is a congruent number.

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, 138496 + ... + 139256.

It is an arithmetic number, because the mean of its divisors is an integer number (5248656).

Almost surely, 2^105684636 is an apocalyptic number.

It is an amenable number.

105684636 is an abundant number, since it is smaller than the sum of its proper divisors (146250852).

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

105684636 is a wasteful number, since it uses less digits than its factorization.

105684636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 105684636 is about 10280.3033029186. The cubic root of 105684636 is about 472.7925435650.

The spelling of 105684636 in words is "one hundred five million, six hundred eighty-four thousand, six hundred thirty-six".