105909003512880 has 160 divisors (see below), whose sum is σ = 331712826395328. Its totient is φ = 27950383104000.

The previous prime is 105909003512843. The next prime is 105909003512903. The reversal of 105909003512880 is 88215300909501.

It is a super-2 number, since 2×105909003512880² (a number of 29 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, 1199364730 + ... + 1199453030.

Almost surely, 2^{105909003512880} is an apocalyptic number.

105909003512880 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 105909003512880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165856413197664).

105909003512880 is an abundant number, since it is smaller than the sum of its proper divisors (225803822882448).

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

105909003512880 is a wasteful number, since it uses less digits than its factorization.

105909003512880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139935 (or 139929 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 105909003512880 in words is "one hundred five trillion, nine hundred nine billion, three million, five hundred twelve thousand, eight hundred eighty".