105193621 has 16 divisors (see below), whose sum is σ = 115582320. Its totient is φ = 95155200.

The previous prime is 105193607. The next prime is 105193679. The reversal of 105193621 is 126391501.

It can be written as a sum of positive squares in 8 ways, for example, as 18610596 + 86583025 = 4314^2 + 9305^2 .

It is a cyclic number.

It is not a de Polignac number, because 105193621 - 2²³ = 96805013 is a prime.

It is a super-2 number, since 2×105193621² = 22131395798183282, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105193621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105193601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148015 + ... + 148723.

It is an arithmetic number, because the mean of its divisors is an integer number (7223895).

Almost surely, 2^105193621 is an apocalyptic number.

It is an amenable number.

105193621 is a deficient number, since it is larger than the sum of its proper divisors (10388699).

105193621 is a wasteful number, since it uses less digits than its factorization.

105193621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 105193621 is about 10256.3941519425. The cubic root of 105193621 is about 472.0592023916.

The spelling of 105193621 in words is "one hundred five million, one hundred ninety-three thousand, six hundred twenty-one".