105613621 has 12 divisors (see below), whose sum is σ = 112937344. Its totient is φ = 98658000.

The previous prime is 105613603. The next prime is 105613657. The reversal of 105613621 is 126316501.

It is not a de Polignac number, because 105613621 - 2⁵ = 105613589 is a prime.

It is a super-2 number, since 2×105613621² = 22308473881463282, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105613421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24046 + ... + 28096.

Almost surely, 2^105613621 is an apocalyptic number.

It is an amenable number.

105613621 is a deficient number, since it is larger than the sum of its proper divisors (7323723).

105613621 is an equidigital number, since it uses as much as digits as its factorization.

105613621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 105613621 is about 10276.8487874445. The cubic root of 105613621 is about 472.6866218754.

The spelling of 105613621 in words is "one hundred five million, six hundred thirteen thousand, six hundred twenty-one".