107812900 has 72 divisors (see below), whose sum is σ = 253733760. Its totient is φ = 39527040.

The previous prime is 107812889. The next prime is 107812919. The reversal of 107812900 is 9218701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310527 + ... + 310873.

It is an arithmetic number, because the mean of its divisors is an integer number (3524080).

Almost surely, 2^107812900 is an apocalyptic number.

107812900 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 107812900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126866880).

107812900 is an abundant number, since it is smaller than the sum of its proper divisors (145920860).

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

107812900 is a wasteful number, since it uses less digits than its factorization.

107812900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 107812900 is about 10383.2990903662. The cubic root of 107812900 is about 475.9451540979.

The spelling of 107812900 in words is "one hundred seven million, eight hundred twelve thousand, nine hundred".