102164521 has 2 divisors, whose sum is σ = 102164522. Its totient is φ = 102164520.

The previous prime is 102164467. The next prime is 102164537. The reversal of 102164521 is 125461201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98307225 + 3857296 = 9915^2 + 1964^2 .

It is a cyclic number.

It is not a de Polignac number, because 102164521 - 2⁷ = 102164393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102164492 and 102164501.

It is not a weakly prime, because it can be changed into another prime (102164581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51082260 + 51082261.

It is an arithmetic number, because the mean of its divisors is an integer number (51082261).

Almost surely, 2^102164521 is an apocalyptic number.

It is an amenable number.

102164521 is a deficient number, since it is larger than the sum of its proper divisors (1).

102164521 is an equidigital number, since it uses as much as digits as its factorization.

102164521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 102164521 is about 10107.6466598314. The cubic root of 102164521 is about 467.4839458012.

The spelling of 102164521 in words is "one hundred two million, one hundred sixty-four thousand, five hundred twenty-one".