105013744 has 20 divisors (see below), whose sum is σ = 221961240. Its totient is φ = 47733440.

The previous prime is 105013739. The next prime is 105013763. The reversal of 105013744 is 447310501.

It is a super-2 number, since 2×105013744² = 22055772857795072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298159 + ... + 298510.

It is an arithmetic number, because the mean of its divisors is an integer number (11098062).

Almost surely, 2^105013744 is an apocalyptic number.

It is an amenable number.

105013744 is an abundant number, since it is smaller than the sum of its proper divisors (116947496).

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

105013744 is a wasteful number, since it uses less digits than its factorization.

105013744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596688 (or 596682 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 105013744 is about 10247.6213825453. The cubic root of 105013744 is about 471.7899812562.

The spelling of 105013744 in words is "one hundred five million, thirteen thousand, seven hundred forty-four".