109962 has 24 divisors (see below), whose sum is σ = 245700. Its totient is φ = 35520.

The previous prime is 109961. The next prime is 109987. The reversal of 109962 is 269901.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 25281 = 291^2 + 159^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (109961) 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, 664 + ... + 812.

109962 is a Friedman number, since it can be written as 6109*9*2, using all its digits and the basic arithmetic operations.

2¹⁰⁹⁹⁶² is an apocalyptic number.

109962 is an abundant number, since it is smaller than the sum of its proper divisors (135738).

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

109962 is a wasteful number, since it uses less digits than its factorization.

109962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 109962 is about 331.6051869317. The cubic root of 109962 is about 47.9086805426.

The spelling of 109962 in words is "one hundred nine thousand, nine hundred sixty-two".