105775533355052 has 72 divisors (see below), whose sum is σ = 219498228196128. Its totient is φ = 44397761774080.

The previous prime is 105775533355003. The next prime is 105775533355057. The reversal of 105775533355052 is 250553335577501.

It is a happy number.

It is a super-2 number, since 2×105775533355052² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105775533355057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120842768 + ... + 121714935.

It is an arithmetic number, because the mean of its divisors is an integer number (3048586502724).

Almost surely, 2^{105775533355052} is an apocalyptic number.

It is an amenable number.

105775533355052 is an abundant number, since it is smaller than the sum of its proper divisors (113722694841076).

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

105775533355052 is a wasteful number, since it uses less digits than its factorization.

105775533355052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242557799 (or 242557786 counting only the distinct ones).

The product of its (nonzero) digits is 41343750, while the sum is 56.

The spelling of 105775533355052 in words is "one hundred five trillion, seven hundred seventy-five billion, five hundred thirty-three million, three hundred fifty-five thousand, fifty-two".