106964 has 36 divisors (see below), whose sum is σ = 234612. Its totient is φ = 42240.

The previous prime is 106963. The next prime is 106979. The reversal of 106964 is 469601.

It can be written as a sum of positive squares in 2 ways, for example, as 48400 + 58564 = 220^2 + 242^2 .

It is a super-2 number, since 2×106964² = 22882594592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106964.

It is not an unprimeable number, because it can be changed into a prime (106961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6284 + ... + 6300.

It is an arithmetic number, because the mean of its divisors is an integer number (6517).

2¹⁰⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

106964 is an abundant number, since it is smaller than the sum of its proper divisors (127648).

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

106964 is a wasteful number, since it uses less digits than its factorization.

106964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106964 is about 327.0535124410. The cubic root of 106964 is about 47.4692691345.

106964 divided by its sum of digits (26) gives a palindrome (4114).

The spelling of 106964 in words is "one hundred six thousand, nine hundred sixty-four".