102007 has 4 divisors (see below), whose sum is σ = 103320. Its totient is φ = 100696.

The previous prime is 102001. The next prime is 102013. The reversal of 102007 is 700201.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (102001) and next prime (102013).

It is a cyclic number.

It is not a de Polignac number, because 102007 - 2³ = 101999 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101984 and 102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001) 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 3 ways as a sum of consecutive naturals, for example, 532 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (25830).

2¹⁰²⁰⁰⁷ is an apocalyptic number.

102007 is a deficient number, since it is larger than the sum of its proper divisors (1313).

102007 is an equidigital number, since it uses as much as digits as its factorization.

102007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 102007 is about 319.3853471905. The cubic root of 102007 is about 46.7243560925.

Adding to 102007 its reverse (700201), we get a palindrome (802208).

The spelling of 102007 in words is "one hundred two thousand, seven", and thus it is an iban number.