107090200 has 48 divisors (see below), whose sum is σ = 284557680. Its totient is φ = 36716160.

The previous prime is 107090189. The next prime is 107090219. The reversal of 107090200 is 2090701.

It is a super-2 number, since 2×107090200² = 22936621872080000, 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, 36847 + ... + 39646.

It is an arithmetic number, because the mean of its divisors is an integer number (5928285).

Almost surely, 2^107090200 is an apocalyptic number.

107090200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107090200 is an abundant number, since it is smaller than the sum of its proper divisors (177467480).

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

107090200 is a wasteful number, since it uses less digits than its factorization.

107090200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76516 (or 76507 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 107090200 is about 10348.4394958854. The cubic root of 107090200 is about 474.8793045144.

The spelling of 107090200 in words is "one hundred seven million, ninety thousand, two hundred".