105580807872 has 224 divisors, whose sum is σ = 293605208064. Its totient is φ = 33443020800.

The previous prime is 105580807859. The next prime is 105580807879. The reversal of 105580807872 is 278708085501.

It is a super-2 number, since 2×105580807872² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105580807879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182982048 + ... + 182982624.

It is an arithmetic number, because the mean of its divisors is an integer number (1310737536).

Almost surely, 2^105580807872 is an apocalyptic number.

105580807872 is a gapful number since it is divisible by the number (12) 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 105580807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146802604032).

105580807872 is an abundant number, since it is smaller than the sum of its proper divisors (188024400192).

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

105580807872 is a wasteful number, since it uses less digits than its factorization.

105580807872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 51.

The spelling of 105580807872 in words is "one hundred five billion, five hundred eighty million, eight hundred seven thousand, eight hundred seventy-two".