105839424372 has 24 divisors (see below), whose sum is σ = 269409444192. Its totient is φ = 32072552800.

The previous prime is 105839424331. The next prime is 105839424389. The reversal of 105839424372 is 273424938501.

It is a super-2 number, since 2×105839424372² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 400906779 + ... + 400907042.

It is an arithmetic number, because the mean of its divisors is an integer number (11225393508).

Almost surely, 2^105839424372 is an apocalyptic number.

105839424372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105839424372 is an abundant number, since it is smaller than the sum of its proper divisors (163570019820).

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

105839424372 is a wasteful number, since it uses less digits than its factorization.

105839424372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801813839 (or 801813837 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 105839424372 in words is "one hundred five billion, eight hundred thirty-nine million, four hundred twenty-four thousand, three hundred seventy-two".