102907 has 8 divisors (see below), whose sum is σ = 120032. Its totient is φ = 86400.

The previous prime is 102881. The next prime is 102911. The reversal of 102907 is 709201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102907 - 2¹⁵ = 70139 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (102967) 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 7 ways as a sum of consecutive naturals, for example, 307 + ... + 547.

It is an arithmetic number, because the mean of its divisors is an integer number (15004).

2¹⁰²⁹⁰⁷ is an apocalyptic number.

102907 is a deficient number, since it is larger than the sum of its proper divisors (17125).

102907 is an equidigital number, since it uses as much as digits as its factorization.

102907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 102907 is about 320.7912093559. The cubic root of 102907 is about 46.8613690736.

The spelling of 102907 in words is "one hundred two thousand, nine hundred seven".