107010900 has 54 divisors (see below), whose sum is σ = 335422542. Its totient is φ = 28536000.

The previous prime is 107010889. The next prime is 107010901. The reversal of 107010900 is 9010701.

It can be written as a sum of positive squares in 3 ways, for example, as 3825936 + 103184964 = 1956^2 + 10158^2 .

It is a super-2 number, since 2×107010900² = 22902665437620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107010901) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 58551 + ... + 60350.

Almost surely, 2^107010900 is an apocalyptic number.

107010900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107010900 is an abundant number, since it is smaller than the sum of its proper divisors (228411642).

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

107010900 is a wasteful number, since it uses less digits than its factorization.

107010900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118921 (or 118911 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 107010900 is about 10344.6072907578. The cubic root of 107010900 is about 474.7620599615.

The spelling of 107010900 in words is "one hundred seven million, ten thousand, nine hundred".