109460 has 24 divisors (see below), whose sum is σ = 248136. Its totient is φ = 40320.

The previous prime is 109453. The next prime is 109469. The reversal of 109460 is 64901.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 103684 = 76^2 + 322^2 .

It is a Smith number, since the sum of its digits (20) 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109469) 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, 50 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (10339).

2¹⁰⁹⁴⁶⁰ is an apocalyptic number.

109460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124068).

109460 is an abundant number, since it is smaller than the sum of its proper divisors (138676).

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

109460 is a wasteful number, since it uses less digits than its factorization.

109460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 109460 is about 330.8473968463. The cubic root of 109460 is about 47.8356648682.

The spelling of 109460 in words is "one hundred nine thousand, four hundred sixty".