107082108 has 96 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 30397248.

The previous prime is 107082097. The next prime is 107082113. The reversal of 107082108 is 801280701.

It is a super-2 number, since 2×107082108² = 22933155707447328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148573 + ... + 149291.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^107082108 is an apocalyptic number.

107082108 is a gapful number since it is divisible by the number (18) 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 107082108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

107082108 is an abundant number, since it is smaller than the sum of its proper divisors (212252292).

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

107082108 is a wasteful number, since it uses less digits than its factorization.

107082108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 107082108 is about 10348.0485116760. The cubic root of 107082108 is about 474.8673431955.

The spelling of 107082108 in words is "one hundred seven million, eighty-two thousand, one hundred eight".