102909681 has 48 divisors (see below), whose sum is σ = 180336000. Its totient is φ = 55240704.

The previous prime is 102909679. The next prime is 102909701. The reversal of 102909681 is 186909201.

It is not a de Polignac number, because 102909681 - 2¹ = 102909679 is a prime.

It is a super-3 number, since 3×102909681³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102909641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178065 + ... + 178641.

It is an arithmetic number, because the mean of its divisors is an integer number (3757000).

Almost surely, 2^102909681 is an apocalyptic number.

It is an amenable number.

102909681 is a deficient number, since it is larger than the sum of its proper divisors (77426319).

102909681 is a wasteful number, since it uses less digits than its factorization.

102909681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 102909681 is about 10144.4408914439. The cubic root of 102909681 is about 468.6177602438.

The spelling of 102909681 in words is "one hundred two million, nine hundred nine thousand, six hundred eighty-one".