107282244960 has 576 divisors, whose sum is σ = 417425508864. Its totient is φ = 25803878400.

The previous prime is 107282244943. The next prime is 107282244967. The reversal of 107282244960 is 69442282701.

107282244960 is a `hidden beast` number, since 1 + 0 + 72 + 82 + 2 + 449 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107282244967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58591245 + ... + 58593075.

It is an arithmetic number, because the mean of its divisors is an integer number (724697064).

Almost surely, 2^107282244960 is an apocalyptic number.

107282244960 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 107282244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208712754432).

107282244960 is an abundant number, since it is smaller than the sum of its proper divisors (310143263904).

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

107282244960 is a wasteful number, since it uses less digits than its factorization.

107282244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 107282244960 in words is "one hundred seven billion, two hundred eighty-two million, two hundred forty-four thousand, nine hundred sixty".