102338271124608 has 1024 divisors, whose sum is σ = 313767124070400. Its totient is φ = 29384136916992.

The previous prime is 102338271124597. The next prime is 102338271124697. The reversal of 102338271124608 is 806421172833201.

It is a happy number.

It is a super-2 number, since 2×102338271124608² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101024946310 + ... + 101024947322.

It is an arithmetic number, because the mean of its divisors is an integer number (306413207100).

Almost surely, 2^{102338271124608} 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 102338271124608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156883562035200).

102338271124608 is an abundant number, since it is smaller than the sum of its proper divisors (211428852945792).

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

102338271124608 is a wasteful number, since it uses less digits than its factorization.

102338271124608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 102338271124608 in words is "one hundred two trillion, three hundred thirty-eight billion, two hundred seventy-one million, one hundred twenty-four thousand, six hundred eight".