107162100 has 54 divisors (see below), whose sum is σ = 335896470. Its totient is φ = 28576320.

The previous prime is 107162089. The next prime is 107162117. The reversal of 107162100 is 1261701.

107162100 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 535824 + 106626276 = 732^2 + 10326^2 .

It is a super-2 number, since 2×107162100² = 22967431352820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

107162100 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58635 + ... + 60434.

It is an arithmetic number, because the mean of its divisors is an integer number (6220305).

Almost surely, 2^107162100 is an apocalyptic number.

107162100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107162100 is an abundant number, since it is smaller than the sum of its proper divisors (228734370).

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

107162100 is a wasteful number, since it uses less digits than its factorization.

107162100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119089 (or 119079 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 107162100 is about 10351.9128667121. The cubic root of 107162100 is about 474.9855581943.

The spelling of 107162100 in words is "one hundred seven million, one hundred sixty-two thousand, one hundred".