105939109440 has 280 divisors, whose sum is σ = 399013006392. Its totient is φ = 26588528640.

The previous prime is 105939109411. The next prime is 105939109483. The reversal of 105939109440 is 44901939501.

105939109440 is a `hidden beast` number, since 1 + 0 + 593 + 9 + 10 + 9 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47029994496 + 58909114944 = 216864^2 + 242712^2 .

It is a super-2 number, since 2×105939109440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320430 + ... + 560850.

Almost surely, 2^105939109440 is an apocalyptic number.

105939109440 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 105939109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199506503196).

105939109440 is an abundant number, since it is smaller than the sum of its proper divisors (293073896952).

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

105939109440 is a wasteful number, since it uses less digits than its factorization.

105939109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240467 (or 240448 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 105939109440 in words is "one hundred five billion, nine hundred thirty-nine million, one hundred nine thousand, four hundred forty".