102999 has 16 divisors (see below), whose sum is σ = 156800. Its totient is φ = 59616.

The previous prime is 102983. The next prime is 103001. The reversal of 102999 is 999201.

It is not a de Polignac number, because 102999 - 2⁴ = 102983 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

102999 is a modest number, since divided by 999 gives 102 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672 + ... + 810.

It is an arithmetic number, because the mean of its divisors is an integer number (9800).

2¹⁰²⁹⁹⁹ is an apocalyptic number.

102999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

102999 is a deficient number, since it is larger than the sum of its proper divisors (53801).

102999 is a wasteful number, since it uses less digits than its factorization.

102999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 102999 is about 320.9345727715. The cubic root of 102999 is about 46.8753297755.

It can be divided in two parts, 1029 and 99, that added together give a triangular number (1128 = T₄₇).

The spelling of 102999 in words is "one hundred two thousand, nine hundred ninety-nine".