105505204565152 has 48 divisors (see below), whose sum is σ = 237387482462592. Its totient is φ = 45216369158400.

The previous prime is 105505204565087. The next prime is 105505204565153. The reversal of 105505204565152 is 251565402505501.

It is a super-2 number, since 2×105505204565152² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105505204565153) 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, 94803813 + ... + 95910235.

It is an arithmetic number, because the mean of its divisors is an integer number (4945572551304).

Almost surely, 2^{105505204565152} is an apocalyptic number.

It is an amenable number.

105505204565152 is an abundant number, since it is smaller than the sum of its proper divisors (131882277897440).

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

105505204565152 is a wasteful number, since it uses less digits than its factorization.

105505204565152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532141 (or 1532133 counting only the distinct ones).

The product of its (nonzero) digits is 1500000, while the sum is 46.

The spelling of 105505204565152 in words is "one hundred five trillion, five hundred five billion, two hundred four million, five hundred sixty-five thousand, one hundred fifty-two".