102153113 has 2 divisors, whose sum is σ = 102153114. Its totient is φ = 102153112.

The previous prime is 102153089. The next prime is 102153157. The reversal of 102153113 is 311351201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97081609 + 5071504 = 9853^2 + 2252^2 .

It is a cyclic number.

It is not a de Polignac number, because 102153113 - 2¹² = 102149017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102153091 and 102153100.

It is not a weakly prime, because it can be changed into another prime (102153173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51076556 + 51076557.

It is an arithmetic number, because the mean of its divisors is an integer number (51076557).

Almost surely, 2^102153113 is an apocalyptic number.

It is an amenable number.

102153113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102153113 is an equidigital number, since it uses as much as digits as its factorization.

102153113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 102153113 is about 10107.0823188495. The cubic root of 102153113 is about 467.4665449288.

The spelling of 102153113 in words is "one hundred two million, one hundred fifty-three thousand, one hundred thirteen".