105799583232 has 720 divisors, whose sum is σ = 385437575952. Its totient is φ = 27745320960.

The previous prime is 105799583221. The next prime is 105799583257. The reversal of 105799583232 is 232385997501.

105799583232 is a `hidden beast` number, since 1 + 0 + 57 + 9 + 9 + 583 + 2 + 3 + 2 = 666.

It is a super-2 number, since 2×105799583232² (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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165053632 + ... + 165054272.

Almost surely, 2^105799583232 is an apocalyptic number.

105799583232 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 105799583232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192718787976).

105799583232 is an abundant number, since it is smaller than the sum of its proper divisors (279637992720).

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

105799583232 is a wasteful number, since it uses less digits than its factorization.

105799583232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 105799583232 in words is "one hundred five billion, seven hundred ninety-nine million, five hundred eighty-three thousand, two hundred thirty-two".