105431045511 has 16 divisors (see below), whose sum is σ = 153375280128. Its totient is φ = 63888840000.

The previous prime is 105431045509. The next prime is 105431045537. The reversal of 105431045511 is 115540134501.

It is not a de Polignac number, because 105431045511 - 2¹ = 105431045509 is a prime.

It is a super-2 number, since 2×105431045511² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105431045611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29386 + ... + 460136.

It is an arithmetic number, because the mean of its divisors is an integer number (9585955008).

Almost surely, 2^105431045511 is an apocalyptic number.

105431045511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105431045511 is a deficient number, since it is larger than the sum of its proper divisors (47944234617).

105431045511 is a wasteful number, since it uses less digits than its factorization.

105431045511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438182.

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 105431045511 in words is "one hundred five billion, four hundred thirty-one million, forty-five thousand, five hundred eleven".