102252361 has 2 divisors, whose sum is σ = 102252362. Its totient is φ = 102252360.

The previous prime is 102252343. The next prime is 102252383. The reversal of 102252361 is 163252201.

It is an a-pointer prime, because the next prime (102252383) can be obtained adding 102252361 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59598400 + 42653961 = 7720^2 + 6531^2 .

It is a cyclic number.

It is not a de Polignac number, because 102252361 - 2⁵ = 102252329 is a prime.

It is a super-4 number, since 4×102252361⁴ (a number of 33 digits) contains 4444 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102252301) 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, 51126180 + 51126181.

It is an arithmetic number, because the mean of its divisors is an integer number (51126181).

Almost surely, 2^102252361 is an apocalyptic number.

It is an amenable number.

102252361 is a deficient number, since it is larger than the sum of its proper divisors (1).

102252361 is an equidigital number, since it uses as much as digits as its factorization.

102252361 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 22.

The square root of 102252361 is about 10111.9909513409. The cubic root of 102252361 is about 467.6178867110.

The spelling of 102252361 in words is "one hundred two million, two hundred fifty-two thousand, three hundred sixty-one".