107128800 has 108 divisors (see below), whose sum is σ = 377788320. Its totient is φ = 28565760.

The previous prime is 107128789. The next prime is 107128811. The reversal of 107128800 is 8821701.

It is an interprime number because it is at equal distance from previous prime (107128789) and next prime (107128811).

It is a super-2 number, since 2×107128800² = 22953159578880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 240 + ... + 14639.

It is an arithmetic number, because the mean of its divisors is an integer number (3498040).

Almost surely, 2^107128800 is an apocalyptic number.

107128800 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 107128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894160).

107128800 is an abundant number, since it is smaller than the sum of its proper divisors (270659520).

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

107128800 is a wasteful number, since it uses less digits than its factorization.

107128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14905 (or 14889 counting only the distinct ones).

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

The square root of 107128800 is about 10350.3043433515. The cubic root of 107128800 is about 474.9363534297.

The spelling of 107128800 in words is "one hundred seven million, one hundred twenty-eight thousand, eight hundred".