105905555756 has 48 divisors (see below), whose sum is σ = 248841035520. Its totient is φ = 38087910720.

The previous prime is 105905555687. The next prime is 105905555783. The reversal of 105905555756 is 657555509501.

It is a super-2 number, since 2×105905555756² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105905555698 and 105905555707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13220966 + ... + 13228973.

It is an arithmetic number, because the mean of its divisors is an integer number (5184188240).

Almost surely, 2^105905555756 is an apocalyptic number.

It is an amenable number.

105905555756 is an abundant number, since it is smaller than the sum of its proper divisors (142935479764).

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

105905555756 is a wasteful number, since it uses less digits than its factorization.

105905555756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26449974 (or 26449972 counting only the distinct ones).

The product of its (nonzero) digits is 5906250, while the sum is 53.

The spelling of 105905555756 in words is "one hundred five billion, nine hundred five million, five hundred fifty-five thousand, seven hundred fifty-six".