107188320 has 96 divisors (see below), whose sum is σ = 340962048. Its totient is φ = 28302848.

The previous prime is 107188283. The next prime is 107188339. The reversal of 107188320 is 23881701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107188320² = 22978671888844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50317 + ... + 52403.

It is an arithmetic number, because the mean of its divisors is an integer number (3551688).

Almost surely, 2^107188320 is an apocalyptic number.

107188320 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 107188320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170481024).

107188320 is an abundant number, since it is smaller than the sum of its proper divisors (233773728).

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

107188320 is a wasteful number, since it uses less digits than its factorization.

107188320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 107188320 is about 10353.1792218622. The cubic root of 107188320 is about 475.0242942330.

The spelling of 107188320 in words is "one hundred seven million, one hundred eighty-eight thousand, three hundred twenty".