110000400 has 120 divisors (see below), whose sum is σ = 363857664. Its totient is φ = 28377600.

The previous prime is 110000381. The next prime is 110000411. The reversal of 110000400 is 4000011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35722 + ... + 38678.

Almost surely, 2^110000400 is an apocalyptic number.

110000400 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 110000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181928832).

110000400 is an abundant number, since it is smaller than the sum of its proper divisors (253857264).

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

110000400 is a wasteful number, since it uses less digits than its factorization.

110000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 110000400 is about 10488.1075509360. The cubic root of 110000400 is about 479.1425664837.

Adding to 110000400 its reverse (4000011), we get a palindrome (114000411).

The spelling of 110000400 in words is "one hundred ten million, four hundred", and thus it is an aban number.