108964 has 6 divisors (see below), whose sum is σ = 190694. Its totient is φ = 54480.

The previous prime is 108961. The next prime is 108967. The reversal of 108964 is 469801.

It is an interprime number because it is at equal distance from previous prime (108961) and next prime (108967).

It can be written as a sum of positive squares in only one way, i.e., 108900 + 64 = 330^2 + 8^2 .

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13617 + ... + 13624.

2¹⁰⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

108964 is a deficient number, since it is larger than the sum of its proper divisors (81730).

108964 is a wasteful number, since it uses less digits than its factorization.

108964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27245 (or 27243 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 108964 is about 330.0969554540. The cubic root of 108964 is about 47.7633023070.

It can be divided in two parts, 1089 and 64, that multiplied together give a palindrome (69696).

The spelling of 108964 in words is "one hundred eight thousand, nine hundred sixty-four".