102964 has 6 divisors (see below), whose sum is σ = 180194. Its totient is φ = 51480.

The previous prime is 102953. The next prime is 102967. The reversal of 102964 is 469201.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 8100 = 308^2 + 90^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102967) by changing a digit.

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 as a sum of consecutive naturals, namely, 12867 + ... + 12874.

2¹⁰²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

102964 is a deficient number, since it is larger than the sum of its proper divisors (77230).

102964 is a wasteful number, since it uses less digits than its factorization.

102964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25745 (or 25743 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 102964 is about 320.8800398903. The cubic root of 102964 is about 46.8700196190.

It can be divided in two parts, 1029 and 64, that multiplied together give a palindrome (65856).

The spelling of 102964 in words is "one hundred two thousand, nine hundred sixty-four".