105492122574080 has 144 divisors (see below), whose sum is σ = 287643244984704. Its totient is φ = 36692912087040.

The previous prime is 105492122574071. The next prime is 105492122574107. The reversal of 105492122574080 is 80475221294501.

It is a super-2 number, since 2×105492122574080² (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 15 ways as a sum of consecutive naturals, for example, 162553079 + ... + 163200758.

It is an arithmetic number, because the mean of its divisors is an integer number (1997522534616).

Almost surely, 2^{105492122574080} is an apocalyptic number.

105492122574080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105492122574080 is an abundant number, since it is smaller than the sum of its proper divisors (182151122410624).

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

105492122574080 is a wasteful number, since it uses less digits than its factorization.

105492122574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325753892 (or 325753878 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 105492122574080 in words is "one hundred five trillion, four hundred ninety-two billion, one hundred twenty-two million, five hundred seventy-four thousand, eighty".