107309352960 has 768 divisors, whose sum is σ = 410417280000. Its totient is φ = 26591625216.

The previous prime is 107309352949. The next prime is 107309352973. The reversal of 107309352960 is 69253903701.

107309352960 is a `hidden beast` number, since 1 + 0 + 7 + 30 + 93 + 529 + 6 + 0 = 666.

107309352960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1358346201 + ... + 1358346279.

It is an arithmetic number, because the mean of its divisors is an integer number (534397500).

Almost surely, 2^107309352960 is an apocalyptic number.

107309352960 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 107309352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205208640000).

107309352960 is an abundant number, since it is smaller than the sum of its proper divisors (303107927040).

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

107309352960 is an frugal number, since it uses more digits than its factorization.

107309352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 107309352960 in words is "one hundred seven billion, three hundred nine million, three hundred fifty-two thousand, nine hundred sixty".