102117357351504 has 320 divisors, whose sum is σ = 321033559680000. Its totient is φ = 30821604226560.

The previous prime is 102117357351439. The next prime is 102117357351577. The reversal of 102117357351504 is 405153753711201.

102117357351504 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 73 + 5 + 73 + 5 + 1 + 504 = 666.

It is a super-2 number, since 2×102117357351504² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102117357351504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6517982679 + ... + 6517998345.

It is an arithmetic number, because the mean of its divisors is an integer number (1003229874000).

Almost surely, 2^{102117357351504} 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 102117357351504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160516779840000).

102117357351504 is an abundant number, since it is smaller than the sum of its proper divisors (218916202328496).

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

102117357351504 is a wasteful number, since it uses less digits than its factorization.

102117357351504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21063 (or 21051 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 102117357351504 in words is "one hundred two trillion, one hundred seventeen billion, three hundred fifty-seven million, three hundred fifty-one thousand, five hundred four".