105539040290880 has 1008 divisors, whose sum is σ = 447323101907760. Its totient is φ = 22693740281856.

The previous prime is 105539040290813. The next prime is 105539040290963. The reversal of 105539040290880 is 88092040935501.

105539040290880 is a `hidden beast` number, since 1 + 0 + 5 + 539 + 0 + 4 + 0 + 29 + 0 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26296712193024 + 79242328097856 = 5128032^2 + 8901816^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×105539040290880² (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 143 ways as a sum of consecutive naturals, for example, 5932817026 + ... + 5932834814.

Almost surely, 2^{105539040290880} is an apocalyptic number.

105539040290880 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 105539040290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223661550953880).

105539040290880 is an abundant number, since it is smaller than the sum of its proper divisors (341784061616880).

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

105539040290880 is a wasteful number, since it uses less digits than its factorization.

105539040290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20316 (or 20296 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 105539040290880 in words is "one hundred five trillion, five hundred thirty-nine billion, forty million, two hundred ninety thousand, eight hundred eighty".