102264209 has 8 divisors (see below), whose sum is σ = 105690312. Its totient is φ = 98882560.

The previous prime is 102264203. The next prime is 102264221. The reversal of 102264209 is 902462201.

It can be written as a sum of positive squares in 4 ways, for example, as 819025 + 101445184 = 905^2 + 10072^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102264209 - 2⁴ = 102264193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102264203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6404 + ... + 15669.

It is an arithmetic number, because the mean of its divisors is an integer number (13211289).

Almost surely, 2^102264209 is an apocalyptic number.

It is an amenable number.

102264209 is a deficient number, since it is larger than the sum of its proper divisors (3426103).

102264209 is a wasteful number, since it uses less digits than its factorization.

102264209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22227.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 102264209 is about 10112.5767735034. The cubic root of 102264209 is about 467.6359470038.

The spelling of 102264209 in words is "one hundred two million, two hundred sixty-four thousand, two hundred nine".