110485152 has 144 divisors (see below), whose sum is σ = 337165920. Its totient is φ = 34214400.

The previous prime is 110485093. The next prime is 110485153. The reversal of 110485152 is 251584011.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (110485153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333627 + ... + 333957.

It is an arithmetic number, because the mean of its divisors is an integer number (2341430).

Almost surely, 2^110485152 is an apocalyptic number.

110485152 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 110485152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168582960).

110485152 is an abundant number, since it is smaller than the sum of its proper divisors (226680768).

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

110485152 is a wasteful number, since it uses less digits than its factorization.

110485152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 110485152 is about 10511.1917497494. The cubic root of 110485152 is about 479.8453668566.

The spelling of 110485152 in words is "one hundred ten million, four hundred eighty-five thousand, one hundred fifty-two".