102564949 has 2 divisors, whose sum is σ = 102564950. Its totient is φ = 102564948.

The previous prime is 102564941. The next prime is 102564971. The reversal of 102564949 is 949465201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65901924 + 36663025 = 8118^2 + 6055^2 .

It is a cyclic number.

It is not a de Polignac number, because 102564949 - 2³ = 102564941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102564941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51282474 + 51282475.

It is an arithmetic number, because the mean of its divisors is an integer number (51282475).

Almost surely, 2^102564949 is an apocalyptic number.

It is an amenable number.

102564949 is a deficient number, since it is larger than the sum of its proper divisors (1).

102564949 is an equidigital number, since it uses as much as digits as its factorization.

102564949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 102564949 is about 10127.4354601745. The cubic root of 102564949 is about 468.0939084569.

The spelling of 102564949 in words is "one hundred two million, five hundred sixty-four thousand, nine hundred forty-nine".