105639974096832 has 560 divisors, whose sum is σ = 367309223297280. Its totient is φ = 29398227775488.

The previous prime is 105639974096779. The next prime is 105639974096837. The reversal of 105639974096832 is 238690479936501.

105639974096832 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 399 + 74 + 0 + 96 + 83 + 2 = 666.

It is a super-2 number, since 2×105639974096832² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105639974096837) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 216141243 + ... + 216629445.

It is a 1-persistent number, because it is pandigital, but 2⋅105639974096832 = 211279948193664 is not.

Almost surely, 2^{105639974096832} is an apocalyptic number.

105639974096832 is a gapful number since it is divisible by the number (12) 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 105639974096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183654611648640).

105639974096832 is an abundant number, since it is smaller than the sum of its proper divisors (261669249200448).

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

105639974096832 is an equidigital number, since it uses as much as digits as its factorization.

105639974096832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488390 (or 488371 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 105639974096832 in words is "one hundred five trillion, six hundred thirty-nine billion, nine hundred seventy-four million, ninety-six thousand, eight hundred thirty-two".