102723116160 has 256 divisors, whose sum is σ = 376454615040. Its totient is φ = 23338463232.

The previous prime is 102723116149. The next prime is 102723116191. The reversal of 102723116160 is 61611327201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2221597 + ... + 2267363.

It is an arithmetic number, because the mean of its divisors is an integer number (1470525840).

Almost surely, 2^102723116160 is an apocalyptic number.

102723116160 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 102723116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188227307520).

102723116160 is an abundant number, since it is smaller than the sum of its proper divisors (273731498880).

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

102723116160 is a wasteful number, since it uses less digits than its factorization.

102723116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45963 (or 45951 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 102723116160 in words is "one hundred two billion, seven hundred twenty-three million, one hundred sixteen thousand, one hundred sixty".