105512031 has 16 divisors (see below), whose sum is σ = 156472320. Its totient is φ = 70270200.

The previous prime is 105512023. The next prime is 105512051. The reversal of 105512031 is 130215501.

It is not a de Polignac number, because 105512031 - 2³ = 105512023 is a prime.

It is a super-2 number, since 2×105512031² = 22265577371489922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105511995 and 105512013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105512021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51676 + ... + 53678.

It is an arithmetic number, because the mean of its divisors is an integer number (9779520).

Almost surely, 2^105512031 is an apocalyptic number.

105512031 is a deficient number, since it is larger than the sum of its proper divisors (50960289).

105512031 is a wasteful number, since it uses less digits than its factorization.

105512031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105512031 is about 10271.9049353078. The cubic root of 105512031 is about 472.5350137822.

Adding to 105512031 its reverse (130215501), we get a palindrome (235727532).

The spelling of 105512031 in words is "one hundred five million, five hundred twelve thousand, thirty-one".