102509801 has 2 divisors, whose sum is σ = 102509802. Its totient is φ = 102509800.

The previous prime is 102509783. The next prime is 102509819. The reversal of 102509801 is 108905201.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (102509783) and next prime (102509819).

It can be written as a sum of positive squares in only one way, i.e., 71995225 + 30514576 = 8485^2 + 5524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102509801 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102509851) 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, 51254900 + 51254901.

It is an arithmetic number, because the mean of its divisors is an integer number (51254901).

Almost surely, 2^102509801 is an apocalyptic number.

It is an amenable number.

102509801 is a deficient number, since it is larger than the sum of its proper divisors (1).

102509801 is an equidigital number, since it uses as much as digits as its factorization.

102509801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 102509801 is about 10124.7123909768. The cubic root of 102509801 is about 468.0099971688.

The spelling of 102509801 in words is "one hundred two million, five hundred nine thousand, eight hundred one".