107484590304 has 768 divisors, whose sum is σ = 398834472960. Its totient is φ = 27411333120.

The previous prime is 107484590273. The next prime is 107484590333. The reversal of 107484590304 is 403095484701.

107484590304 is a `hidden beast` number, since 10 + 7 + 48 + 4 + 590 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 107484590304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 350112519 + ... + 350112825.

It is an arithmetic number, because the mean of its divisors is an integer number (519315720).

Almost surely, 2^107484590304 is an apocalyptic number.

107484590304 is a gapful number since it is divisible by the number (14) 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 107484590304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199417236480).

107484590304 is an abundant number, since it is smaller than the sum of its proper divisors (291349882656).

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

107484590304 is a wasteful number, since it uses less digits than its factorization.

107484590304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 107484590304 in words is "one hundred seven billion, four hundred eighty-four million, five hundred ninety thousand, three hundred four".