105126970080 has 96 divisors (see below), whose sum is σ = 361254515328. Its totient is φ = 25485324800.

The previous prime is 105126970063. The next prime is 105126970141. The reversal of 105126970080 is 80079621501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105126970080² (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 15 ways as a sum of consecutive naturals, for example, 9949926 + ... + 9960485.

It is an arithmetic number, because the mean of its divisors is an integer number (3763067868).

Almost surely, 2^105126970080 is an apocalyptic number.

105126970080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105126970080 is an abundant number, since it is smaller than the sum of its proper divisors (256127545248).

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

105126970080 is a wasteful number, since it uses less digits than its factorization.

105126970080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19910440 (or 19910432 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 105126970080 in words is "one hundred five billion, one hundred twenty-six million, nine hundred seventy thousand, eighty".