105170879520 has 960 divisors, whose sum is σ = 441280224000. Its totient is φ = 23572684800.

The previous prime is 105170879497. The next prime is 105170879563. The reversal of 105170879520 is 25978071501.

105170879520 is a `hidden beast` number, since 1 + 0 + 51 + 7 + 0 + 8 + 79 + 520 = 666.

It is a super-2 number, since 2×105170879520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 262271320 + ... + 262271720.

It is an arithmetic number, because the mean of its divisors is an integer number (459666900).

Almost surely, 2^105170879520 is an apocalyptic number.

105170879520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105170879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220640112000).

105170879520 is an abundant number, since it is smaller than the sum of its proper divisors (336109344480).

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

105170879520 is an equidigital number, since it uses as much as digits as its factorization.

105170879520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 105170879520 in words is "one hundred five billion, one hundred seventy million, eight hundred seventy-nine thousand, five hundred twenty".