110084772 has 36 divisors (see below), whose sum is σ = 298803120. Its totient is φ = 31452624.

The previous prime is 110084759. The next prime is 110084797. The reversal of 110084772 is 277480011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93022 + ... + 94197.

Almost surely, 2^110084772 is an apocalyptic number.

110084772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110084772 is an abundant number, since it is smaller than the sum of its proper divisors (188718348).

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

110084772 is a wasteful number, since it uses less digits than its factorization.

110084772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187240 (or 187231 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 110084772 is about 10492.1290499117. The cubic root of 110084772 is about 479.2650384177.

The spelling of 110084772 in words is "one hundred ten million, eighty-four thousand, seven hundred seventy-two".