105902521 has 2 divisors, whose sum is σ = 105902522. Its totient is φ = 105902520.

The previous prime is 105902449. The next prime is 105902543. The reversal of 105902521 is 125209501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54922921 + 50979600 = 7411^2 + 7140^2 .

It is a cyclic number.

It is not a de Polignac number, because 105902521 - 2¹³ = 105894329 is a prime.

It is a super-2 number, since 2×105902521² = 22430687908310882, which contains 22 as substring.

It is equal to p_6081532 and since 105902521 and 6081532 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105902821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52951260 + 52951261.

It is an arithmetic number, because the mean of its divisors is an integer number (52951261).

Almost surely, 2^105902521 is an apocalyptic number.

It is an amenable number.

105902521 is a deficient number, since it is larger than the sum of its proper divisors (1).

105902521 is an equidigital number, since it uses as much as digits as its factorization.

105902521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105902521 is about 10290.8950533955. The cubic root of 105902521 is about 473.1172318544.

The spelling of 105902521 in words is "one hundred five million, nine hundred two thousand, five hundred twenty-one".