110042624 has 40 divisors (see below), whose sum is σ = 221188968. Its totient is φ = 54691840.

The previous prime is 110042593. The next prime is 110042629. The reversal of 110042624 is 426240011.

It is a junction number, because it is equal to n+sod(n) for n = 110042596 and 110042605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110042629) 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 3 ways as a sum of consecutive naturals, for example, 100319 + ... + 101409.

Almost surely, 2^110042624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110594484).

110042624 is an abundant number, since it is smaller than the sum of its proper divisors (111146344).

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

110042624 is an equidigital number, since it uses as much as digits as its factorization.

110042624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 110042624 is about 10490.1203043626. The cubic root of 110042624 is about 479.2038654356.

Adding to 110042624 its reverse (426240011), we get a palindrome (536282635).

The spelling of 110042624 in words is "one hundred ten million, forty-two thousand, six hundred twenty-four".