105322800011572 has 72 divisors (see below), whose sum is σ = 219469220016200. Its totient is φ = 44191384174080.

The previous prime is 105322800011549. The next prime is 105322800011629. The reversal of 105322800011572 is 275110008223501.

It can be written as a sum of positive squares in 4 ways, for example, as 26247239718436 + 79075560293136 = 5123206^2 + 8892444^2 .

It is a super-2 number, since 2×105322800011572² (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 48460797 + ... + 50587492.

Almost surely, 2^{105322800011572} is an apocalyptic number.

It is an amenable number.

105322800011572 is an abundant number, since it is smaller than the sum of its proper divisors (114146420004628).

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

105322800011572 is a wasteful number, since it uses less digits than its factorization.

105322800011572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99048354 (or 99048315 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 105322800011572 in words is "one hundred five trillion, three hundred twenty-two billion, eight hundred million, eleven thousand, five hundred seventy-two".