105720936888 has 32 divisors (see below), whose sum is σ = 302059820160. Its totient is φ = 30205981920.

The previous prime is 105720936887. The next prime is 105720936973. The reversal of 105720936888 is 888639027501.

It is a happy number.

105720936888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105720936888² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105720936887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314645478 + ... + 314645813.

It is an arithmetic number, because the mean of its divisors is an integer number (9439369380).

Almost surely, 2^105720936888 is an apocalyptic number.

It is an amenable number.

105720936888 is an abundant number, since it is smaller than the sum of its proper divisors (196338883272).

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

105720936888 is a wasteful number, since it uses less digits than its factorization.

105720936888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629291307 (or 629291303 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 105720936888 in words is "one hundred five billion, seven hundred twenty million, nine hundred thirty-six thousand, eight hundred eighty-eight".