105112531164 has 24 divisors (see below), whose sum is σ = 248018334480. Its totient is φ = 34643830144.

The previous prime is 105112531163. The next prime is 105112531187. The reversal of 105112531164 is 461135211501.

It is a super-2 number, since 2×105112531164² (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 (105112531163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49208919 + ... + 49211054.

It is an arithmetic number, because the mean of its divisors is an integer number (10334097270).

Almost surely, 2^105112531164 is an apocalyptic number.

It is an amenable number.

105112531164 is an abundant number, since it is smaller than the sum of its proper divisors (142905803316).

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

105112531164 is a wasteful number, since it uses less digits than its factorization.

105112531164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98420069 (or 98420067 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 105112531164 its reverse (461135211501), we get a palindrome (566247742665).

The spelling of 105112531164 in words is "one hundred five billion, one hundred twelve million, five hundred thirty-one thousand, one hundred sixty-four".