110400010100 has 36 divisors (see below), whose sum is σ = 247828994700. Its totient is φ = 42637244160.

The previous prime is 110400010099. The next prime is 110400010117. The reversal of 110400010100 is 1010004011.

It can be written as a sum of positive squares in 6 ways, for example, as 915788644 + 109484221456 = 30262^2 + 330884^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19031585 + ... + 19037384.

Almost surely, 2^110400010100 is an apocalyptic number.

110400010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110400010100 is an abundant number, since it is smaller than the sum of its proper divisors (137428984600).

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

110400010100 is a wasteful number, since it uses less digits than its factorization.

110400010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38069012 (or 38069005 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110400010100 its reverse (1010004011), we get a palindrome (111410014111).

The spelling of 110400010100 in words is "one hundred ten billion, four hundred million, ten thousand, one hundred".