107086900 has 18 divisors (see below), whose sum is σ = 232378790. Its totient is φ = 42834720.

The previous prime is 107086853. The next prime is 107086901. The reversal of 107086900 is 9680701.

It can be written as a sum of positive squares in 3 ways, for example, as 1449616 + 105637284 = 1204^2 + 10278^2 .

It is a super-2 number, since 2×107086900² = 22935208303220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107086901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 535335 + ... + 535534.

Almost surely, 2^107086900 is an apocalyptic number.

107086900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107086900 is an abundant number, since it is smaller than the sum of its proper divisors (125291890).

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

107086900 is a wasteful number, since it uses less digits than its factorization.

107086900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070883 (or 1070876 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 107086900 is about 10348.2800503272. The cubic root of 107086900 is about 474.8744266395.

The spelling of 107086900 in words is "one hundred seven million, eighty-six thousand, nine hundred".