110149224 has 64 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 35707584.

The previous prime is 110149219. The next prime is 110149241. The reversal of 110149224 is 422941011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 110149194 and 110149203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151149 + ... + 151875.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^110149224 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 110149224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

110149224 is an abundant number, since it is smaller than the sum of its proper divisors (172897176).

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

110149224 is a wasteful number, since it uses less digits than its factorization.

110149224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 110149224 is about 10495.2000457352. The cubic root of 110149224 is about 479.3585529075.

The spelling of 110149224 in words is "one hundred ten million, one hundred forty-nine thousand, two hundred twenty-four".