105436948596 has 48 divisors (see below), whose sum is σ = 295963368960. Its totient is φ = 28539324000.

The previous prime is 105436948579. The next prime is 105436948627. The reversal of 105436948596 is 695849634501.

It is a super-2 number, since 2×105436948596² (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33030030 + ... + 33033221.

It is an arithmetic number, because the mean of its divisors is an integer number (6165903520).

Almost surely, 2^105436948596 is an apocalyptic number.

It is an amenable number.

105436948596 is an abundant number, since it is smaller than the sum of its proper divisors (190526420364).

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

105436948596 is a wasteful number, since it uses less digits than its factorization.

105436948596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66063284 (or 66063282 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 105436948596 in words is "one hundred five billion, four hundred thirty-six million, nine hundred forty-eight thousand, five hundred ninety-six".