107668800 has 126 divisors (see below), whose sum is σ = 382731518. Its totient is φ = 28707840.

The previous prime is 107668789. The next prime is 107668817. The reversal of 107668800 is 8866701.

It can be written as a sum of positive squares in 3 ways, for example, as 28387584 + 79281216 = 5328^2 + 8904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10662 + ... + 18138.

Almost surely, 2^107668800 is an apocalyptic number.

107668800 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 107668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191365759).

107668800 is an abundant number, since it is smaller than the sum of its proper divisors (275062718).

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

107668800 is a wasteful number, since it uses less digits than its factorization.

107668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 107668800 is about 10376.3577424836. The cubic root of 107668800 is about 475.7330141308.

The spelling of 107668800 in words is "one hundred seven million, six hundred sixty-eight thousand, eight hundred".