110020400 has 60 divisors (see below), whose sum is σ = 302092272. Its totient is φ = 37720320.

The previous prime is 110020397. The next prime is 110020423. The reversal of 110020400 is 4020011.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 16847 + ... + 22446.

Almost surely, 2^110020400 is an apocalyptic number.

110020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020400 is an abundant number, since it is smaller than the sum of its proper divisors (192071872).

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

110020400 is a wasteful number, since it uses less digits than its factorization.

110020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39318 (or 39307 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 110020400 is about 10489.0609684566. The cubic root of 110020400 is about 479.1716035618.

Adding to 110020400 its reverse (4020011), we get a palindrome (114040411).

The spelling of 110020400 in words is "one hundred ten million, twenty thousand, four hundred".