110193132 has 48 divisors (see below), whose sum is σ = 295384320. Its totient is φ = 31319232.

The previous prime is 110193089. The next prime is 110193151. The reversal of 110193132 is 231391011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 110193099 and 110193108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13219 + ... + 19877.

It is an arithmetic number, because the mean of its divisors is an integer number (6153840).

Almost surely, 2^110193132 is an apocalyptic number.

110193132 is a gapful number since it is divisible by the number (12) 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 110193132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147692160).

110193132 is an abundant number, since it is smaller than the sum of its proper divisors (185191188).

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

110193132 is a wasteful number, since it uses less digits than its factorization.

110193132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 110193132 is about 10497.2916507069. The cubic root of 110193132 is about 479.4222388736.

The spelling of 110193132 in words is "one hundred ten million, one hundred ninety-three thousand, one hundred thirty-two".