107875282320 has 180 divisors, whose sum is σ = 392293055700. Its totient is φ = 26553885696.

The previous prime is 107875282279. The next prime is 107875282321. The reversal of 107875282320 is 23282578701.

107875282320 is a `hidden beast` number, since 1 + 0 + 7 + 87 + 528 + 23 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24425938944 + 83449343376 = 156288^2 + 288876^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (107875282321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 321595 + ... + 564954.

It is an arithmetic number, because the mean of its divisors is an integer number (2179405865).

Almost surely, 2^107875282320 is an apocalyptic number.

107875282320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107875282320 is an abundant number, since it is smaller than the sum of its proper divisors (284417773380).

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

107875282320 is a wasteful number, since it uses less digits than its factorization.

107875282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886594 (or 886572 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 107875282320 in words is "one hundred seven billion, eight hundred seventy-five million, two hundred eighty-two thousand, three hundred twenty".