102966308160 has 112 divisors (see below), whose sum is σ = 327006118656. Its totient is φ = 27450284032.

The previous prime is 102966308119. The next prime is 102966308177. The reversal of 102966308160 is 61803669201.

It is a super-2 number, since 2×102966308160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4185817 + ... + 4210343.

It is an arithmetic number, because the mean of its divisors is an integer number (2919697488).

Almost surely, 2^102966308160 is an apocalyptic number.

102966308160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102966308160 is an abundant number, since it is smaller than the sum of its proper divisors (224039810496).

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

102966308160 is a wasteful number, since it uses less digits than its factorization.

102966308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28920 (or 28910 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 102966308160 in words is "one hundred two billion, nine hundred sixty-six million, three hundred eight thousand, one hundred sixty".