105909810094080 has 2240 divisors, whose sum is σ = 403233305840640. Its totient is φ = 26562549252096.

The previous prime is 105909810094069. The next prime is 105909810094163. The reversal of 105909810094080 is 80490018909501.

105909810094080 is a `hidden beast` number, since 1 + 0 + 590 + 9 + 8 + 1 + 0 + 0 + 9 + 40 + 8 + 0 = 666.

It is a super-2 number, since 2×105909810094080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 649753436079 + ... + 649753436241.

Almost surely, 2^{105909810094080} is an apocalyptic number.

105909810094080 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 105909810094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201616652920320).

105909810094080 is an abundant number, since it is smaller than the sum of its proper divisors (297323495746560).

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

105909810094080 is an equidigital number, since it uses as much as digits as its factorization.

105909810094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 105909810094080 in words is "one hundred five trillion, nine hundred nine billion, eight hundred ten million, ninety-four thousand, eighty".