107070600 has 384 divisors, whose sum is σ = 427472640. Its totient is φ = 21565440.

The previous prime is 107070599. The next prime is 107070611. The reversal of 107070600 is 6070701.

It is a super-2 number, since 2×107070600² = 22928226768720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2020174 + ... + 2020226.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^107070600 is an apocalyptic number.

107070600 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 107070600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

107070600 is an abundant number, since it is smaller than the sum of its proper divisors (320402040).

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

107070600 is a wasteful number, since it uses less digits than its factorization.

107070600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 107070600 is about 10347.4924498644. The cubic root of 107070600 is about 474.8503314236.

The spelling of 107070600 in words is "one hundred seven million, seventy thousand, six hundred".