102420764992 has 224 divisors, whose sum is σ = 255775968000. Its totient is φ = 39611400192.

The previous prime is 102420764969. The next prime is 102420765017. The reversal of 102420764992 is 299467024201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 138593359 + ... + 138594097.

It is an arithmetic number, because the mean of its divisors is an integer number (1141857000).

Almost surely, 2^102420764992 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 102420764992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127887984000).

102420764992 is an abundant number, since it is smaller than the sum of its proper divisors (153355203008).

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

102420764992 is a wasteful number, since it uses less digits than its factorization.

102420764992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 102420764992 in words is "one hundred two billion, four hundred twenty million, seven hundred sixty-four thousand, nine hundred ninety-two".