107172800 has 126 divisors (see below), whose sum is σ = 306991512. Its totient is φ = 36718080.

The previous prime is 107172781. The next prime is 107172809. The reversal of 107172800 is 8271701.

It is a super-2 number, since 2×107172800² = 22972018119680000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107172800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107172809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77717 + ... + 79083.

Almost surely, 2^107172800 is an apocalyptic number.

107172800 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 107172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153495756).

107172800 is an abundant number, since it is smaller than the sum of its proper divisors (199818712).

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

107172800 is a wasteful number, since it uses less digits than its factorization.

107172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 107172800 is about 10352.4296665082. The cubic root of 107172800 is about 475.0013665704.

The spelling of 107172800 in words is "one hundred seven million, one hundred seventy-two thousand, eight hundred".