110964 has 24 divisors (see below), whose sum is σ = 296128. Its totient is φ = 31680.

The previous prime is 110951. The next prime is 110969. The reversal of 110964 is 469011.

110964 = T₂₅ + T₂₆ + ... + T₈₇.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 110964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110969) by changing a digit.

110964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577 + ... + 744.

2¹¹⁰⁹⁶⁴ is an apocalyptic number.

110964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

110964 is an abundant number, since it is smaller than the sum of its proper divisors (185164).

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

110964 is a wasteful number, since it uses less digits than its factorization.

110964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 110964 is about 333.1125935776. The cubic root of 110964 is about 48.0537592125.

Adding to 110964 its reverse (469011), we get a palindrome (579975).

The spelling of 110964 in words is "one hundred ten thousand, nine hundred sixty-four".