107276604772960 has 768 divisors, whose sum is σ = 307405237321728. Its totient is φ = 34587443404800.

The previous prime is 107276604772949. The next prime is 107276604773011. The reversal of 107276604772960 is 69277406672701.

107276604772960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107276604772960² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107276604772892 and 107276604772901.

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, 242159378499 + ... + 242159378941.

It is an arithmetic number, because the mean of its divisors is an integer number (400267236096).

Almost surely, 2^{107276604772960} is an apocalyptic number.

107276604772960 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 107276604772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153702618660864).

107276604772960 is an abundant number, since it is smaller than the sum of its proper divisors (200128632548768).

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

107276604772960 is a wasteful number, since it uses less digits than its factorization.

107276604772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 64.

The spelling of 107276604772960 in words is "one hundred seven trillion, two hundred seventy-six billion, six hundred four million, seven hundred seventy-two thousand, nine hundred sixty".