102232735879104 has 224 divisors, whose sum is σ = 300899450016000. Its totient is φ = 34037442597888.

The previous prime is 102232735879073. The next prime is 102232735879159. The reversal of 102232735879104 is 401978537232201.

102232735879104 is a `hidden beast` number, since 1 + 0 + 2 + 23 + 27 + 3 + 587 + 9 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12224405227 + ... + 12224413589.

Almost surely, 2^{102232735879104} 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 102232735879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150449725008000).

102232735879104 is an abundant number, since it is smaller than the sum of its proper divisors (198666714136896).

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

102232735879104 is a wasteful number, since it uses less digits than its factorization.

102232735879104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872 (or 15856 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 102232735879104 in words is "one hundred two trillion, two hundred thirty-two billion, seven hundred thirty-five million, eight hundred seventy-nine thousand, one hundred four".