110073304400 has 240 divisors, whose sum is σ = 279839017728. Its totient is φ = 41563392000.

The previous prime is 110073304399. The next prime is 110073304421. The reversal of 110073304400 is 4403370011.

It is a super-2 number, since 2×110073304400² (a number of 23 digits) contains 22 as substring.

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, 60779495 + ... + 60781305.

Almost surely, 2^110073304400 is an apocalyptic number.

110073304400 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 110073304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139919508864).

110073304400 is an abundant number, since it is smaller than the sum of its proper divisors (169765713328).

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

110073304400 is a wasteful number, since it uses less digits than its factorization.

110073304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

Adding to 110073304400 its reverse (4403370011), we get a palindrome (114476674411).

The spelling of 110073304400 in words is "one hundred ten billion, seventy-three million, three hundred four thousand, four hundred".