102951 has 20 divisors (see below), whose sum is σ = 162624. Its totient is φ = 64800.

The previous prime is 102931. The next prime is 102953. The reversal of 102951 is 159201.

It is not a de Polignac number, because 102951 - 2¹⁵ = 70183 is a prime.

102951 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102951.

It is not an unprimeable number, because it can be changed into a prime (102953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2491 + ... + 2531.

2¹⁰²⁹⁵¹ is an apocalyptic number.

102951 is a deficient number, since it is larger than the sum of its proper divisors (59673).

102951 is an equidigital number, since it uses as much as digits as its factorization.

102951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 102951 is about 320.8597824596. The cubic root of 102951 is about 46.8680469687.

Adding to 102951 its product of nonzero digits (90), we get a square (103041 = 321²).

It can be divided in two parts, 10295 and 1, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 102951 in words is "one hundred two thousand, nine hundred fifty-one".