107482152960 has 1280 divisors, whose sum is σ = 479590372800. Its totient is φ = 22422749184.

The previous prime is 107482152889. The next prime is 107482152989. The reversal of 107482152960 is 69251284701.

107482152960 is a `hidden beast` number, since 1 + 0 + 7 + 48 + 21 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1207664596 + ... + 1207664684.

Almost surely, 2^107482152960 is an apocalyptic number.

107482152960 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 107482152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239795186400).

107482152960 is an abundant number, since it is smaller than the sum of its proper divisors (372108219840).

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

107482152960 is an frugal number, since it uses more digits than its factorization.

107482152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 107482152960 in words is "one hundred seven billion, four hundred eighty-two million, one hundred fifty-two thousand, nine hundred sixty".