105013012 has 48 divisors (see below), whose sum is σ = 210917952. Its totient is φ = 45319680.

The previous prime is 105012991. The next prime is 105013039. The reversal of 105013012 is 210310501.

It is a super-2 number, since 2×105013012² = 22055465378624288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 105012983 and 105013001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186243 + ... + 186805.

It is an arithmetic number, because the mean of its divisors is an integer number (4394124).

Almost surely, 2^105013012 is an apocalyptic number.

It is an amenable number.

105013012 is an abundant number, since it is smaller than the sum of its proper divisors (105904940).

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

105013012 is a wasteful number, since it uses less digits than its factorization.

105013012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105013012 is about 10247.5856668778. The cubic root of 105013012 is about 471.7888850470.

Adding to 105013012 its reverse (210310501), we get a palindrome (315323513).

The spelling of 105013012 in words is "one hundred five million, thirteen thousand, twelve".