105242613 has 32 divisors (see below), whose sum is σ = 169623552. Its totient is φ = 56764800.

The previous prime is 105242611. The next prime is 105242633. The reversal of 105242613 is 316242501.

It is not a de Polignac number, because 105242613 - 2¹ = 105242611 is a prime.

It is a super-2 number, since 2×105242613² = 22152015182135538, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105242611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24720 + ... + 28662.

It is an arithmetic number, because the mean of its divisors is an integer number (5300736).

Almost surely, 2^105242613 is an apocalyptic number.

It is an amenable number.

105242613 is a deficient number, since it is larger than the sum of its proper divisors (64380939).

105242613 is a wasteful number, since it uses less digits than its factorization.

105242613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105242613 is about 10258.7822376732. The cubic root of 105242613 is about 472.1324753233.

The spelling of 105242613 in words is "one hundred five million, two hundred forty-two thousand, six hundred thirteen".