105117171200604 has 72 divisors (see below), whose sum is σ = 270122294660400. Its totient is φ = 34457819328000.

The previous prime is 105117171200603. The next prime is 105117171200647. The reversal of 105117171200604 is 406002171711501.

105117171200604 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 17 + 17 + 1 + 20 + 0 + 604 = 666.

It is a super-2 number, since 2×105117171200604² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105117171200603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6353572 + ... + 15830420.

It is an arithmetic number, because the mean of its divisors is an integer number (3751698536950).

Almost surely, 2^{105117171200604} 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 105117171200604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135061147330200).

105117171200604 is an abundant number, since it is smaller than the sum of its proper divisors (165005123459796).

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

105117171200604 is a wasteful number, since it uses less digits than its factorization.

105117171200604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9481971 (or 9481966 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 105117171200604 in words is "one hundred five trillion, one hundred seventeen billion, one hundred seventy-one million, two hundred thousand, six hundred four".