107676900 has 108 divisors (see below), whose sum is σ = 339885364. Its totient is φ = 28512000.

The previous prime is 107676889. The next prime is 107676901. The reversal of 107676900 is 9676701.

It can be written as a sum of positive squares in 6 ways, for example, as 10969344 + 96707556 = 3312^2 + 9834^2 .

It is a super-2 number, since 2×107676900² = 23188629587220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107676901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162570 + ... + 163230.

Almost surely, 2^107676900 is an apocalyptic number.

107676900 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 107676900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169942682).

107676900 is an abundant number, since it is smaller than the sum of its proper divisors (232208464).

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

107676900 is a wasteful number, since it uses less digits than its factorization.

107676900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 107676900 is about 10376.7480455102. The cubic root of 107676900 is about 475.7449437421.

The spelling of 107676900 in words is "one hundred seven million, six hundred seventy-six thousand, nine hundred".