102153257 has 2 divisors, whose sum is σ = 102153258. Its totient is φ = 102153256.

The previous prime is 102153217. The next prime is 102153269. The reversal of 102153257 is 752351201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99580441 + 2572816 = 9979^2 + 1604^2 .

It is a cyclic number.

It is not a de Polignac number, because 102153257 - 2⁶ = 102153193 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102153217) 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, 51076628 + 51076629.

It is an arithmetic number, because the mean of its divisors is an integer number (51076629).

Almost surely, 2^102153257 is an apocalyptic number.

It is an amenable number.

102153257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102153257 is an equidigital number, since it uses as much as digits as its factorization.

102153257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 102153257 is about 10107.0894425646. The cubic root of 102153257 is about 467.4667645833.

The spelling of 102153257 in words is "one hundred two million, one hundred fifty-three thousand, two hundred fifty-seven".