102164633 has 2 divisors, whose sum is σ = 102164634. Its totient is φ = 102164632.

The previous prime is 102164609. The next prime is 102164639. The reversal of 102164633 is 336461201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97871449 + 4293184 = 9893^2 + 2072^2 .

It is an emirp because it is prime and its reverse (336461201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102164633 - 2¹⁶ = 102099097 is a prime.

It is a super-2 number, since 2×102164633² = 20875224472049378, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102164639) 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, 51082316 + 51082317.

It is an arithmetic number, because the mean of its divisors is an integer number (51082317).

Almost surely, 2^102164633 is an apocalyptic number.

It is an amenable number.

102164633 is a deficient number, since it is larger than the sum of its proper divisors (1).

102164633 is an equidigital number, since it uses as much as digits as its factorization.

102164633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 102164633 is about 10107.6522001897. The cubic root of 102164633 is about 467.4841166308.

The spelling of 102164633 in words is "one hundred two million, one hundred sixty-four thousand, six hundred thirty-three".