110132000 has 96 divisors (see below), whose sum is σ = 295311744. Its totient is φ = 40032000.

The previous prime is 110131979. The next prime is 110132003. The reversal of 110132000 is 231011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (110132003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42749 + ... + 45251.

It is an arithmetic number, because the mean of its divisors is an integer number (3076164).

Almost surely, 2^110132000 is an apocalyptic number.

110132000 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 110132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147655872).

110132000 is an abundant number, since it is smaller than the sum of its proper divisors (185179744).

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

110132000 is a wasteful number, since it uses less digits than its factorization.

110132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 110132000 is about 10494.3794480665. The cubic root of 110132000 is about 479.3335658889. Note that the first 3 decimals are identical.

Adding to 110132000 its reverse (231011), we get a palindrome (110363011).

The spelling of 110132000 in words is "one hundred ten million, one hundred thirty-two thousand".