105557260080 has 160 divisors (see below), whose sum is σ = 338758407360. Its totient is φ = 27158118400.

The previous prime is 105557260049. The next prime is 105557260121. The reversal of 105557260080 is 80062755501.

It is a super-2 number, since 2×105557260080² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11138224 + ... + 11147696.

It is an arithmetic number, because the mean of its divisors is an integer number (2117240046).

Almost surely, 2^105557260080 is an apocalyptic number.

105557260080 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 105557260080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169379203680).

105557260080 is an abundant number, since it is smaller than the sum of its proper divisors (233201147280).

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

105557260080 is a wasteful number, since it uses less digits than its factorization.

105557260080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11119 (or 11113 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 105557260080 in words is "one hundred five billion, five hundred fifty-seven million, two hundred sixty thousand, eighty".