110085952 has 28 divisors (see below), whose sum is σ = 224360740. Its totient is φ = 53554176.

The previous prime is 110085901. The next prime is 110085953. The reversal of 110085952 is 259580011.

It can be written as a sum of positive squares in 2 ways, for example, as 74373376 + 35712576 = 8624^2 + 5976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110085953) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 20877 + ... + 25612.

Almost surely, 2^110085952 is an apocalyptic number.

It is an amenable number.

110085952 is an abundant number, since it is smaller than the sum of its proper divisors (114274788).

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

110085952 is an equidigital number, since it uses as much as digits as its factorization.

110085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46538 (or 46528 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The square root of 110085952 is about 10492.1852823899. The cubic root of 110085952 is about 479.2667508275.

The spelling of 110085952 in words is "one hundred ten million, eighty-five thousand, nine hundred fifty-two".