105047990880 has 96 divisors (see below), whose sum is σ = 378172779264. Its totient is φ = 24010968576.

The previous prime is 105047990863. The next prime is 105047990881. The reversal of 105047990880 is 88099740501.

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

It is a super-2 number, since 2×105047990880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105047990881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15628782 + ... + 15635501.

It is an arithmetic number, because the mean of its divisors is an integer number (3939299784).

Almost surely, 2^105047990880 is an apocalyptic number.

105047990880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105047990880 is an abundant number, since it is smaller than the sum of its proper divisors (273124788384).

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

105047990880 is a wasteful number, since it uses less digits than its factorization.

105047990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31264308 (or 31264300 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 105047990880 in words is "one hundred five billion, forty-seven million, nine hundred ninety thousand, eight hundred eighty".