110099080 has 192 divisors, whose sum is σ = 323190000. Its totient is φ = 33417216.

The previous prime is 110099071. The next prime is 110099113. The reversal of 110099080 is 80990011.

It can be written as a sum of positive squares in 8 ways, for example, as 10458756 + 99640324 = 3234^2 + 9982^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738846 + ... + 738994.

Almost surely, 2^110099080 is an apocalyptic number.

110099080 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 110099080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161595000).

110099080 is an abundant number, since it is smaller than the sum of its proper divisors (213090920).

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

110099080 is a wasteful number, since it uses less digits than its factorization.

110099080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 110099080 is about 10492.8108722115. The cubic root of 110099080 is about 479.2858012867.

The spelling of 110099080 in words is "one hundred ten million, ninety-nine thousand, eighty".