102293907872 has 96 divisors (see below), whose sum is σ = 229562161920. Its totient is φ = 44479964160.

The previous prime is 102293907841. The next prime is 102293907889. The reversal of 102293907872 is 278709392201.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 102293907872.

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, 1394873 + ... + 1466375.

It is an arithmetic number, because the mean of its divisors is an integer number (2391272520).

Almost surely, 2^102293907872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102293907872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114781080960).

102293907872 is an abundant number, since it is smaller than the sum of its proper divisors (127268254048).

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

102293907872 is a wasteful number, since it uses less digits than its factorization.

102293907872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71726 (or 71718 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The spelling of 102293907872 in words is "one hundred two billion, two hundred ninety-three million, nine hundred seven thousand, eight hundred seventy-two".