107085860 has 24 divisors (see below), whose sum is σ = 257006400. Its totient is φ = 36715104.

The previous prime is 107085827. The next prime is 107085877. The reversal of 107085860 is 68580701.

It is a happy number.

It is a super-2 number, since 2×107085860² = 22934762823879200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 107085860.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382310 + ... + 382589.

It is an arithmetic number, because the mean of its divisors is an integer number (10708600).

Almost surely, 2^107085860 is an apocalyptic number.

107085860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107085860 is an abundant number, since it is smaller than the sum of its proper divisors (149920540).

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

107085860 is a wasteful number, since it uses less digits than its factorization.

107085860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764915 (or 764913 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 107085860 is about 10348.2298003088. The cubic root of 107085860 is about 474.8728893491.

The spelling of 107085860 in words is "one hundred seven million, eighty-five thousand, eight hundred sixty".