102137 has 4 divisors (see below), whose sum is σ = 116736. Its totient is φ = 87540.

The previous prime is 102121. The next prime is 102139. The reversal of 102137 is 731201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102137 - 2⁴ = 102121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102139) 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, 7289 + ... + 7302.

It is an arithmetic number, because the mean of its divisors is an integer number (29184).

2¹⁰²¹³⁷ is an apocalyptic number.

It is an amenable number.

102137 is a deficient number, since it is larger than the sum of its proper divisors (14599).

102137 is an equidigital number, since it uses as much as digits as its factorization.

102137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14598.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 102137 is about 319.5887983018. The cubic root of 102137 is about 46.7441965210.

Adding to 102137 its reverse (731201), we get a palindrome (833338).

The spelling of 102137 in words is "one hundred two thousand, one hundred thirty-seven".