105924742020 has 72 divisors (see below), whose sum is σ = 324307960704. Its totient is φ = 27982605888.

The previous prime is 105924742003. The next prime is 105924742039. The reversal of 105924742020 is 20247429501.

105924742020 is a `hidden beast` number, since 1 + 0 + 592 + 4 + 7 + 42 + 0 + 20 = 666.

It is a super-2 number, since 2×105924742020² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2730604 + ... + 2769123.

It is an arithmetic number, because the mean of its divisors is an integer number (4504277232).

Almost surely, 2^105924742020 is an apocalyptic number.

105924742020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105924742020 is an abundant number, since it is smaller than the sum of its proper divisors (218383218684).

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

105924742020 is a wasteful number, since it uses less digits than its factorization.

105924742020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499849 (or 5499844 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 105924742020 in words is "one hundred five billion, nine hundred twenty-four million, seven hundred forty-two thousand, twenty".