110620400 has 120 divisors (see below), whose sum is σ = 299647488. Its totient is φ = 38880000.

The previous prime is 110620397. The next prime is 110620421. The reversal of 110620400 is 4026011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135995 + ... + 136805.

Almost surely, 2^110620400 is an apocalyptic number.

110620400 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 110620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149823744).

110620400 is an abundant number, since it is smaller than the sum of its proper divisors (189027088).

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

110620400 is a wasteful number, since it uses less digits than its factorization.

110620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 110620400 is about 10517.6233056713. The cubic root of 110620400 is about 480.0410844463.

Adding to 110620400 its reverse (4026011), we get a palindrome (114646411).

The spelling of 110620400 in words is "one hundred ten million, six hundred twenty thousand, four hundred".