102918681 has 20 divisors (see below), whose sum is σ = 154741092. Its totient is φ = 68167008.

The previous prime is 102918661. The next prime is 102918701. The reversal of 102918681 is 186819201.

It is an interprime number because it is at equal distance from previous prime (102918661) and next prime (102918701).

It can be written as a sum of positive squares in 2 ways, for example, as 37454400 + 65464281 = 6120^2 + 8091^2 .

It is not a de Polignac number, because 102918681 - 2⁶ = 102918617 is a prime.

It is a super-2 number, since 2×102918681² = 21184509797559522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102918661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8671 + ... + 16763.

Almost surely, 2^102918681 is an apocalyptic number.

It is an amenable number.

102918681 is a deficient number, since it is larger than the sum of its proper divisors (51822411).

102918681 is an equidigital number, since it uses as much as digits as its factorization.

102918681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 102918681 is about 10144.8844744531. The cubic root of 102918681 is about 468.6314208857.

The spelling of 102918681 in words is "one hundred two million, nine hundred eighteen thousand, six hundred eighty-one".