107970720 has 288 divisors, whose sum is σ = 405082944. Its totient is φ = 24161280.

The previous prime is 107970697. The next prime is 107970727. The reversal of 107970720 is 27079701.

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 (107970727) 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 47 ways as a sum of consecutive naturals, for example, 8305434 + ... + 8305446.

It is an arithmetic number, because the mean of its divisors is an integer number (1406538).

Almost surely, 2^107970720 is an apocalyptic number.

107970720 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 107970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202541472).

107970720 is an abundant number, since it is smaller than the sum of its proper divisors (297112224).

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

107970720 is a wasteful number, since it uses less digits than its factorization.

107970720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 107970720 is about 10390.8960152626. The cubic root of 107970720 is about 476.1772754944.

The spelling of 107970720 in words is "one hundred seven million, nine hundred seventy thousand, seven hundred twenty".