107085810 has 32 divisors (see below), whose sum is σ = 276776640. Its totient is φ = 26359488.

The previous prime is 107085799. The next prime is 107085827. The reversal of 107085810 is 18580701.

It is a super-2 number, since 2×107085810² = 22934741406712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136900 + ... + 137679.

It is an arithmetic number, because the mean of its divisors is an integer number (8649270).

Almost surely, 2^107085810 is an apocalyptic number.

107085810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107085810 is an abundant number, since it is smaller than the sum of its proper divisors (169690830).

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

107085810 is a wasteful number, since it uses less digits than its factorization.

107085810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274602.

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 107085810 is about 10348.2273844364. The cubic root of 107085810 is about 474.8728154406.

The spelling of 107085810 in words is "one hundred seven million, eighty-five thousand, eight hundred ten".