107376720 has 160 divisors (see below), whose sum is σ = 368012160. Its totient is φ = 25681920.

The previous prime is 107376697. The next prime is 107376727. The reversal of 107376720 is 27673701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107376727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234732 + ... + 235188.

It is an arithmetic number, because the mean of its divisors is an integer number (2300076).

Almost surely, 2^107376720 is an apocalyptic number.

107376720 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 107376720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184006080).

107376720 is an abundant number, since it is smaller than the sum of its proper divisors (260635440).

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

107376720 is a wasteful number, since it uses less digits than its factorization.

107376720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 107376720 is about 10362.2738817308. The cubic root of 107376720 is about 475.3024408154.

The spelling of 107376720 in words is "one hundred seven million, three hundred seventy-six thousand, seven hundred twenty".