110103008400 has 1440 divisors, whose sum is σ = 506135605248. Its totient is φ = 22320230400.

The previous prime is 110103008381. The next prime is 110103008413. The reversal of 110103008400 is 4800301011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 351766644 + ... + 351766956.

Almost surely, 2^110103008400 is an apocalyptic number.

110103008400 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 110103008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253067802624).

110103008400 is an abundant number, since it is smaller than the sum of its proper divisors (396032596848).

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

110103008400 is a wasteful number, since it uses less digits than its factorization.

110103008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110103008400 its reverse (4800301011), we get a palindrome (114903309411).

The spelling of 110103008400 in words is "one hundred ten billion, one hundred three million, eight thousand, four hundred".