110451400 has 48 divisors (see below), whose sum is σ = 257879700. Its totient is φ = 43994880.

The previous prime is 110451379. The next prime is 110451433. The reversal of 110451400 is 4154011.

It can be written as a sum of positive squares in 6 ways, for example, as 15856324 + 94595076 = 3982^2 + 9726^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52774 + ... + 54826.

Almost surely, 2^110451400 is an apocalyptic number.

110451400 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 110451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128939850).

110451400 is an abundant number, since it is smaller than the sum of its proper divisors (147428300).

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

110451400 is a wasteful number, since it uses less digits than its factorization.

110451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 110451400 is about 10509.5861003181. The cubic root of 110451400 is about 479.7964993843.

The spelling of 110451400 in words is "one hundred ten million, four hundred fifty-one thousand, four hundred".