105249248521 has 2 divisors, whose sum is σ = 105249248522. Its totient is φ = 105249248520.

The previous prime is 105249248497. The next prime is 105249248609. The reversal of 105249248521 is 125842942501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67714448400 + 37534800121 = 260220^2 + 193739^2 .

It is a cyclic number.

It is not a de Polignac number, because 105249248521 - 2⁹ = 105249248009 is a prime.

It is a super-2 number, since 2×105249248521² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105249248921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52624624260 + 52624624261.

It is an arithmetic number, because the mean of its divisors is an integer number (52624624261).

Almost surely, 2^105249248521 is an apocalyptic number.

It is an amenable number.

105249248521 is a deficient number, since it is larger than the sum of its proper divisors (1).

105249248521 is an equidigital number, since it uses as much as digits as its factorization.

105249248521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 105249248521 in words is "one hundred five billion, two hundred forty-nine million, two hundred forty-eight thousand, five hundred twenty-one".