105245984521 has 2 divisors, whose sum is σ = 105245984522. Its totient is φ = 105245984520.

The previous prime is 105245984509. The next prime is 105245984603. The reversal of 105245984521 is 125489542501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89114190400 + 16131794121 = 298520^2 + 127011^2 .

It is a cyclic number.

It is not a de Polignac number, because 105245984521 - 2⁵ = 105245984489 is a prime.

It is a super-2 number, since 2×105245984521² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105245984021) 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, 52622992260 + 52622992261.

It is an arithmetic number, because the mean of its divisors is an integer number (52622992261).

Almost surely, 2^105245984521 is an apocalyptic number.

It is an amenable number.

105245984521 is a deficient number, since it is larger than the sum of its proper divisors (1).

105245984521 is an equidigital number, since it uses as much as digits as its factorization.

105245984521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576000, while the sum is 46.

The spelling of 105245984521 in words is "one hundred five billion, two hundred forty-five million, nine hundred eighty-four thousand, five hundred twenty-one".