110100042 has 24 divisors (see below), whose sum is σ = 256900644. Its totient is φ = 33876864.

The previous prime is 110100019. The next prime is 110100061. The reversal of 110100042 is 240001011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 86099841 + 24000201 = 9279^2 + 4899^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110099997 and 110100033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235023 + ... + 235490.

Almost surely, 2^110100042 is an apocalyptic number.

110100042 is an abundant number, since it is smaller than the sum of its proper divisors (146800602).

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

110100042 is a wasteful number, since it uses less digits than its factorization.

110100042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470534 (or 470531 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 110100042 is about 10492.8567130215. The cubic root of 110100042 is about 479.2871972160.

Adding to 110100042 its reverse (240001011), we get a palindrome (350101053).

The spelling of 110100042 in words is "one hundred ten million, one hundred thousand, forty-two".