110104512400 has 135 divisors (see below), whose sum is σ = 271041872851. Its totient is φ = 42982635520.

The previous prime is 110104512383. The next prime is 110104512449. The reversal of 110104512400 is 4215401011.

The square root of 110104512400 is 331820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6028590736 + 104075921664 = 77644^2 + 322608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 311910624 + ... + 311910976.

Almost surely, 2^110104512400 is an apocalyptic number.

110104512400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110104512400 is the 331820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110104512400

110104512400 is an abundant number, since it is smaller than the sum of its proper divisors (160937360451).

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

110104512400 is an frugal number, since it uses more digits than its factorization.

110104512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 110104512400 its reverse (4215401011), we get a palindrome (114319913411).

The spelling of 110104512400 in words is "one hundred ten billion, one hundred four million, five hundred twelve thousand, four hundred".