101964 has 24 divisors (see below), whose sum is σ = 246960. Its totient is φ = 32704.

The previous prime is 101963. The next prime is 101977. The reversal of 101964 is 469101.

It is a self number, because there is not a number n which added to its sum of digits gives 101964.

It is not an unprimeable number, because it can be changed into a prime (101963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (10290).

2¹⁰¹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123480).

101964 is an abundant number, since it is smaller than the sum of its proper divisors (144996).

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

101964 is a wasteful number, since it uses less digits than its factorization.

101964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

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

The square root of 101964 is about 319.3180232934. The cubic root of 101964 is about 46.7177897794.

The spelling of 101964 in words is "one hundred one thousand, nine hundred sixty-four".