105857621 has 2 divisors, whose sum is σ = 105857622. Its totient is φ = 105857620.

The previous prime is 105857617. The next prime is 105857699. The reversal of 105857621 is 126758501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96334225 + 9523396 = 9815^2 + 3086^2 .

It is a cyclic number.

It is not a de Polignac number, because 105857621 - 2² = 105857617 is a prime.

It is a super-2 number, since 2×105857621² = 22411671847559282, which contains 22 as substring.

It is equal to p_6079094 and since 105857621 and 6079094 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105857321) 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 as a sum of consecutive naturals, namely, 52928810 + 52928811.

It is an arithmetic number, because the mean of its divisors is an integer number (52928811).

Almost surely, 2^105857621 is an apocalyptic number.

It is an amenable number.

105857621 is a deficient number, since it is larger than the sum of its proper divisors (1).

105857621 is an equidigital number, since it uses as much as digits as its factorization.

105857621 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 105857621 is about 10288.7132820387. The cubic root of 105857621 is about 473.0503591417.

The spelling of 105857621 in words is "one hundred five million, eight hundred fifty-seven thousand, six hundred twenty-one".