105189617832 has 64 divisors (see below), whose sum is σ = 287429782080. Its totient is φ = 31882954752.

The previous prime is 105189617831. The next prime is 105189617839. The reversal of 105189617832 is 238716981501.

It is a super-2 number, since 2×105189617832² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105189617831) 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 15 ways as a sum of consecutive naturals, for example, 2495113 + ... + 2536920.

It is an arithmetic number, because the mean of its divisors is an integer number (4491090345).

Almost surely, 2^105189617832 is an apocalyptic number.

105189617832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105189617832 is an abundant number, since it is smaller than the sum of its proper divisors (182240164248).

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

105189617832 is a wasteful number, since it uses less digits than its factorization.

105189617832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032122 (or 5032118 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 105189617832 in words is "one hundred five billion, one hundred eighty-nine million, six hundred seventeen thousand, eight hundred thirty-two".