105505621 has 16 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 91162368.

The previous prime is 105505549. The next prime is 105505627. The reversal of 105505621 is 126505501.

It is a cyclic number.

It is not a de Polignac number, because 105505621 - 2¹⁹ = 104981333 is a prime.

It is a super-2 number, since 2×105505621² = 22262872125191282, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505627) 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, 42780 + ... + 45178.

It is an arithmetic number, because the mean of its divisors is an integer number (7560000).

Almost surely, 2^105505621 is an apocalyptic number.

It is an amenable number.

105505621 is a deficient number, since it is larger than the sum of its proper divisors (15454379).

105505621 is a wasteful number, since it uses less digits than its factorization.

105505621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628.

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 105505621 is about 10271.5929144413. The cubic root of 105505621 is about 472.5254445393.

The spelling of 105505621 in words is "one hundred five million, five hundred five thousand, six hundred twenty-one".