110098920 has 128 divisors (see below), whose sum is σ = 356083200. Its totient is φ = 27143424.

The previous prime is 110098883. The next prime is 110098921. The reversal of 110098920 is 29890011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (110098921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97479 + ... + 98601.

It is an arithmetic number, because the mean of its divisors is an integer number (2781900).

Almost surely, 2^110098920 is an apocalyptic number.

110098920 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 110098920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178041600).

110098920 is an abundant number, since it is smaller than the sum of its proper divisors (245984280).

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

110098920 is a wasteful number, since it uses less digits than its factorization.

110098920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 110098920 is about 10492.8032479409. The cubic root of 110098920 is about 479.2855691147.

The spelling of 110098920 in words is "one hundred ten million, ninety-eight thousand, nine hundred twenty".