110098310400 has 1620 divisors, whose sum is σ = 479642605596. Its totient is φ = 24684134400.

The previous prime is 110098310353. The next prime is 110098310453. The reversal of 110098310400 is 4013890011.

It can be written as a sum of positive squares in 6 ways, for example, as 3905750016 + 106192560384 = 62496^2 + 325872^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3551558385 + ... + 3551558415.

Almost surely, 2^110098310400 is an apocalyptic number.

110098310400 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 110098310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239821302798).

110098310400 is an abundant number, since it is smaller than the sum of its proper divisors (369544295196).

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

110098310400 is a wasteful number, since it uses less digits than its factorization.

110098310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 110098310400 in words is "one hundred ten billion, ninety-eight million, three hundred ten thousand, four hundred".