105323111553 has 32 divisors (see below), whose sum is σ = 155515207680. Its totient is φ = 62873616960.

The previous prime is 105323111449. The next prime is 105323111561. The reversal of 105323111553 is 355111323501.

It is not a de Polignac number, because 105323111553 - 2²⁰ = 105322062977 is a prime.

It is a super-2 number, since 2×105323111553² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105323111553.

It is not an unprimeable number, because it can be changed into a prime (105323111563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492151 + ... + 672947.

It is an arithmetic number, because the mean of its divisors is an integer number (4859850240).

Almost surely, 2^105323111553 is an apocalyptic number.

It is an amenable number.

105323111553 is a deficient number, since it is larger than the sum of its proper divisors (50192096127).

105323111553 is a wasteful number, since it uses less digits than its factorization.

105323111553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181077.

The product of its (nonzero) digits is 6750, while the sum is 30.

The spelling of 105323111553 in words is "one hundred five billion, three hundred twenty-three million, one hundred eleven thousand, five hundred fifty-three".