110400680 has 64 divisors (see below), whose sum is σ = 276771600. Its totient is φ = 39352320.

The previous prime is 110400679. The next prime is 110400701. The reversal of 110400680 is 86004011.

It can be written as a sum of positive squares in 8 ways, for example, as 2365444 + 108035236 = 1538^2 + 10394^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11420 + ... + 18740.

Almost surely, 2^110400680 is an apocalyptic number.

110400680 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 110400680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138385800).

110400680 is an abundant number, since it is smaller than the sum of its proper divisors (166370920).

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

110400680 is a wasteful number, since it uses less digits than its factorization.

110400680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 110400680 is about 10507.1727881481. The cubic root of 110400680 is about 479.7230462505.

Adding to 110400680 its reverse (86004011), we get a palindrome (196404691).

The spelling of 110400680 in words is "one hundred ten million, four hundred thousand, six hundred eighty".