107904021840 has 120 divisors (see below), whose sum is σ = 362553033960. Its totient is φ = 28760481792.

The previous prime is 107904021833. The next prime is 107904021871. The reversal of 107904021840 is 48120409701.

107904021840 is a `hidden beast` number, since 1 + 0 + 79 + 0 + 402 + 184 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7518970944 + 100385050896 = 86712^2 + 316836^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107904021795 and 107904021804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1497684 + ... + 1568076.

It is an arithmetic number, because the mean of its divisors is an integer number (3021275283).

Almost surely, 2^107904021840 is an apocalyptic number.

107904021840 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 107904021840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181276516980).

107904021840 is an abundant number, since it is smaller than the sum of its proper divisors (254649012120).

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

107904021840 is a wasteful number, since it uses less digits than its factorization.

107904021840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72541 (or 72532 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 107904021840 in words is "one hundred seven billion, nine hundred four million, twenty-one thousand, eight hundred forty".