102073392960 has 672 divisors, whose sum is σ = 428604395520. Its totient is φ = 20090695680.

The previous prime is 102073392947. The next prime is 102073392983. The reversal of 102073392960 is 69293370201.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15445977 + ... + 15452583.

It is an arithmetic number, because the mean of its divisors is an integer number (637804160).

Almost surely, 2^102073392960 is an apocalyptic number.

102073392960 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 102073392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214302197760).

102073392960 is an abundant number, since it is smaller than the sum of its proper divisors (326531002560).

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

102073392960 is a wasteful number, since it uses less digits than its factorization.

102073392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 102073392960 in words is "one hundred two billion, seventy-three million, three hundred ninety-two thousand, nine hundred sixty".