105688700 has 36 divisors (see below), whose sum is σ = 246989400. Its totient is φ = 39023040.

The previous prime is 105688691. The next prime is 105688729. The reversal of 105688700 is 7886501.

It is a happy number.

It is a super-2 number, since 2×105688700² = 22340202615380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39350 + ... + 41949.

Almost surely, 2^105688700 is an apocalyptic number.

105688700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105688700 is an abundant number, since it is smaller than the sum of its proper divisors (141300700).

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

105688700 is a wasteful number, since it uses less digits than its factorization.

105688700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81326 (or 81319 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 105688700 is about 10280.5009605563. The cubic root of 105688700 is about 472.7986037466.

The spelling of 105688700 in words is "one hundred five million, six hundred eighty-eight thousand, seven hundred".