103456224 has 96 divisors (see below), whose sum is σ = 312228000. Its totient is φ = 33288192.

The previous prime is 103456211. The next prime is 103456229. The reversal of 103456224 is 422654301.

103456224 is a `hidden beast` number, since 1 + 0 + 34 + 5 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103456229) by changing a digit.

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, 22992 + ... + 27120.

It is an arithmetic number, because the mean of its divisors is an integer number (3252375).

Almost surely, 2^103456224 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 103456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156114000).

103456224 is an abundant number, since it is smaller than the sum of its proper divisors (208771776).

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

103456224 is a wasteful number, since it uses less digits than its factorization.

103456224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 103456224 is about 10171.3432741207. The cubic root of 103456224 is about 469.4458899149.

The spelling of 103456224 in words is "one hundred three million, four hundred fifty-six thousand, two hundred twenty-four".