110055424 has 52 divisors (see below), whose sum is σ = 223155604. Its totient is φ = 54263808.

The previous prime is 110055409. The next prime is 110055431. The reversal of 110055424 is 424550011.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 76877824 = 5760^2 + 8768^2 .

It is a super-2 number, since 2×110055424² = 24224392703639552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110055395 and 110055404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 397174 + ... + 397450.

Almost surely, 2^110055424 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 110055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111577802).

110055424 is an abundant number, since it is smaller than the sum of its proper divisors (113100180).

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

110055424 is an frugal number, since it uses more digits than its factorization.

110055424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 110055424 is about 10490.7303844871. The cubic root of 110055424 is about 479.2224448170. Note that the first 3 decimals are identical.

The spelling of 110055424 in words is "one hundred ten million, fifty-five thousand, four hundred twenty-four".