102918961 has 2 divisors, whose sum is σ = 102918962. Its totient is φ = 102918960.

The previous prime is 102918929. The next prime is 102919007. The reversal of 102918961 is 169819201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102900736 + 18225 = 10144^2 + 135^2 .

It is an emirp because it is prime and its reverse (169819201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102918961 - 2⁵ = 102918929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102918961.

It is not a weakly prime, because it can be changed into another prime (102918461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51459480 + 51459481.

It is an arithmetic number, because the mean of its divisors is an integer number (51459481).

Almost surely, 2^102918961 is an apocalyptic number.

It is an amenable number.

102918961 is a deficient number, since it is larger than the sum of its proper divisors (1).

102918961 is an equidigital number, since it uses as much as digits as its factorization.

102918961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 37.

The square root of 102918961 is about 10144.8982745023. The cubic root of 102918961 is about 468.6318458707.

The spelling of 102918961 in words is "one hundred two million, nine hundred eighteen thousand, nine hundred sixty-one".