107352161280 has 528 divisors, whose sum is σ = 457830120384. Its totient is φ = 22649241600.

The previous prime is 107352161237. The next prime is 107352161309. The reversal of 107352161280 is 82161253701.

107352161280 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 521 + 6 + 128 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4180480 + ... + 4206080.

Almost surely, 2^107352161280 is an apocalyptic number.

107352161280 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 107352161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228915060192).

107352161280 is an abundant number, since it is smaller than the sum of its proper divisors (350477959104).

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

107352161280 is a wasteful number, since it uses less digits than its factorization.

107352161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25652 (or 25631 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 107352161280 in words is "one hundred seven billion, three hundred fifty-two million, one hundred sixty-one thousand, two hundred eighty".