102996 has 18 divisors (see below), whose sum is σ = 260442. Its totient is φ = 34320.

The previous prime is 102983. The next prime is 103001. The reversal of 102996 is 699201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 12996 = 300^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1395 + ... + 1466.

It is an arithmetic number, because the mean of its divisors is an integer number (14469).

2¹⁰²⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

102996 is an abundant number, since it is smaller than the sum of its proper divisors (157446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102996 is a wasteful number, since it uses less digits than its factorization.

102996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102996 is about 320.9298988876. The cubic root of 102996 is about 46.8748746663.

The spelling of 102996 in words is "one hundred two thousand, nine hundred ninety-six".