105694680 has 128 divisors (see below), whose sum is σ = 390297600. Its totient is φ = 22298112.

The previous prime is 105694657. The next prime is 105694691. The reversal of 105694680 is 86496501.

It is a super-2 number, since 2×105694680² = 22342730760604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6081 + ... + 15759.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2^105694680 is an apocalyptic number.

105694680 is a gapful number since it is divisible by the number (10) 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 105694680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195148800).

105694680 is an abundant number, since it is smaller than the sum of its proper divisors (284602920).

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

105694680 is a wasteful number, since it uses less digits than its factorization.

105694680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9713 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 105694680 is about 10280.7917983004. The cubic root of 105694680 is about 472.8075207590.

The spelling of 105694680 in words is "one hundred five million, six hundred ninety-four thousand, six hundred eighty".