110040100 has 27 divisors (see below), whose sum is σ = 239014867. Its totient is φ = 43974080.

The previous prime is 110040089. The next prime is 110040101. The reversal of 110040100 is 1040011.

It is a happy number.

The square root of 110040100 is 10490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11792356 + 98247744 = 3434^2 + 9912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110040101) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 104376 + ... + 105424.

Almost surely, 2^110040100 is an apocalyptic number.

110040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110040100 is the 10490-th square number.

It is an amenable number.

110040100 is an abundant number, since it is smaller than the sum of its proper divisors (128974767).

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

110040100 is an equidigital number, since it uses as much as digits as its factorization.

110040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The cubic root of 110040100 is about 479.2002016437.

Adding to 110040100 its reverse (1040011), we get a palindrome (111080111).

The spelling of 110040100 in words is "one hundred ten million, forty thousand, one hundred".