2105424560124 has 240 divisors, whose sum is σ = 5732691148800. Its totient is φ = 673417584000.

The previous prime is 2105424560051. The next prime is 2105424560131. The reversal of 2105424560124 is 4210654245012.

2105424560124 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 4 + 2 + 45 + 601 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137073157 + ... + 137088515.

It is an arithmetic number, because the mean of its divisors is an integer number (23886213120).

Almost surely, 2^{2105424560124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105424560124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866345574400).

2105424560124 is an abundant number, since it is smaller than the sum of its proper divisors (3627266588676).

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

2105424560124 is a wasteful number, since it uses less digits than its factorization.

2105424560124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15606 (or 15595 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2105424560124 in words is "two trillion, one hundred five billion, four hundred twenty-four million, five hundred sixty thousand, one hundred twenty-four".