107864080 has 40 divisors (see below), whose sum is σ = 252495000. Its totient is φ = 42851328.

The previous prime is 107864069. The next prime is 107864087. The reversal of 107864080 is 80468701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8503056 + 99361024 = 2916^2 + 9968^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (107864087) 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 7 ways as a sum of consecutive naturals, for example, 7396 + ... + 16444.

It is an arithmetic number, because the mean of its divisors is an integer number (6312375).

Almost surely, 2^107864080 is an apocalyptic number.

107864080 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 107864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126247500).

107864080 is an abundant number, since it is smaller than the sum of its proper divisors (144630920).

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

107864080 is a wasteful number, since it uses less digits than its factorization.

107864080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9205 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 107864080 is about 10385.7633325625. The cubic root of 107864080 is about 476.0204543620.

The spelling of 107864080 in words is "one hundred seven million, eight hundred sixty-four thousand, eighty".