105017157705204 has 96 divisors (see below), whose sum is σ = 288333983750400. Its totient is φ = 32940663275520.

The previous prime is 105017157705199. The next prime is 105017157705269. The reversal of 105017157705204 is 402507751710501.

105017157705204 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 1 + 7 + 1 + 57 + 70 + 520 + 4 = 666.

It is a super-3 number, since 3×105017157705204³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105017157705204.

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, 5149812 + ... + 15380340.

It is an arithmetic number, because the mean of its divisors is an integer number (3003478997400).

Almost surely, 2^{105017157705204} is an apocalyptic number.

It is an amenable number.

105017157705204 is an abundant number, since it is smaller than the sum of its proper divisors (183316826045196).

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

105017157705204 is a wasteful number, since it uses less digits than its factorization.

105017157705204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10236150 (or 10236142 counting only the distinct ones).

The product of its (nonzero) digits is 343000, while the sum is 45.

The spelling of 105017157705204 in words is "one hundred five trillion, seventeen billion, one hundred fifty-seven million, seven hundred five thousand, two hundred four".