107085600 has 216 divisors, whose sum is σ = 383881680. Its totient is φ = 28085760.

The previous prime is 107085593. The next prime is 107085613. The reversal of 107085600 is 6580701.

It is a super-2 number, since 2×107085600² = 22934651454720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 770331 + ... + 770469.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^107085600 is an apocalyptic number.

107085600 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 107085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191940840).

107085600 is an abundant number, since it is smaller than the sum of its proper divisors (276796080).

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

107085600 is a wasteful number, since it uses less digits than its factorization.

107085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 107085600 is about 10348.2172377661. The cubic root of 107085600 is about 474.8725050249.

The spelling of 107085600 in words is "one hundred seven million, eighty-five thousand, six hundred".