105645613 has 12 divisors (see below), whose sum is σ = 111533760. Its totient is φ = 100019640.

The previous prime is 105645611. The next prime is 105645629. The reversal of 105645613 is 316546501.

It is not a de Polignac number, because 105645613 - 2¹ = 105645611 is a prime.

It is a super-2 number, since 2×105645613² = 22321991092291538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105645611) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 43998 + ... + 46336.

It is an arithmetic number, because the mean of its divisors is an integer number (9294480).

Almost surely, 2^105645613 is an apocalyptic number.

It is an amenable number.

105645613 is a deficient number, since it is larger than the sum of its proper divisors (5888147).

105645613 is an equidigital number, since it uses as much as digits as its factorization.

105645613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 105645613 is about 10278.4051778474. The cubic root of 105645613 is about 472.7343450876.

The spelling of 105645613 in words is "one hundred five million, six hundred forty-five thousand, six hundred thirteen".