110398800 has 120 divisors (see below), whose sum is σ = 356200416. Its totient is φ = 29227520.

The previous prime is 110398793. The next prime is 110398801. The reversal of 110398800 is 8893011.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110398801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236167 + ... + 236633.

Almost surely, 2^110398800 is an apocalyptic number.

110398800 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 110398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178100208).

110398800 is an abundant number, since it is smaller than the sum of its proper divisors (245801616).

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

110398800 is a wasteful number, since it uses less digits than its factorization.

110398800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 110398800 is about 10507.0833250717. The cubic root of 110398800 is about 479.7203231863.

The spelling of 110398800 in words is "one hundred ten million, three hundred ninety-eight thousand, eight hundred".