105115523112 has 24 divisors (see below), whose sum is σ = 284687875290. Its totient is φ = 35038507680.

The previous prime is 105115523111. The next prime is 105115523113. The reversal of 105115523112 is 211325511501.

It is a happy number.

105115523112 is a `hidden beast` number, since 10 + 5 + 1 + 15 + 523 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (105115523111) and next prime (105115523113).

It can be written as a sum of positive squares in only one way, i.e., 95967365796 + 9148157316 = 309786^2 + 95646^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105115523112² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105115523111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 729968839 + ... + 729968982.

Almost surely, 2^105115523112 is an apocalyptic number.

105115523112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105115523112 is an abundant number, since it is smaller than the sum of its proper divisors (179572352178).

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

105115523112 is a wasteful number, since it uses less digits than its factorization.

105115523112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459937833 (or 1459937826 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 105115523112 in words is "one hundred five billion, one hundred fifteen million, five hundred twenty-three thousand, one hundred twelve".