105874575576 has 256 divisors, whose sum is σ = 344577024000. Its totient is φ = 26859369600.

The previous prime is 105874575551. The next prime is 105874575589. The reversal of 105874575576 is 675575478501.

It is a super-2 number, since 2×105874575576² (a number of 23 digits) contains 22 as substring.

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, 3880141 + ... + 3907331.

It is an arithmetic number, because the mean of its divisors is an integer number (1346004000).

Almost surely, 2^105874575576 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 105874575576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172288512000).

105874575576 is an abundant number, since it is smaller than the sum of its proper divisors (238702448424).

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

105874575576 is a wasteful number, since it uses less digits than its factorization.

105874575576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27275 (or 27257 counting only the distinct ones).

The product of its (nonzero) digits is 41160000, while the sum is 60.

The spelling of 105874575576 in words is "one hundred five billion, eight hundred seventy-four million, five hundred seventy-five thousand, five hundred seventy-six".