103214320224 has 24 divisors (see below), whose sum is σ = 270937590840. Its totient is φ = 34404773376.

The previous prime is 103214320219. The next prime is 103214320259. The reversal of 103214320224 is 422023412301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 = 103214320194 and 103214320203.

It is a congruent number.

It is an unprimeable number.

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, 537574489 + ... + 537574680.

It is an arithmetic number, because the mean of its divisors is an integer number (11289066285).

Almost surely, 2^103214320224 is an apocalyptic number.

It is an amenable number.

103214320224 is an abundant number, since it is smaller than the sum of its proper divisors (167723270616).

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

103214320224 is a wasteful number, since it uses less digits than its factorization.

103214320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075149182 (or 1075149174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103214320224 its reverse (422023412301), we get a palindrome (525237732525).

The spelling of 103214320224 in words is "one hundred three billion, two hundred fourteen million, three hundred twenty thousand, two hundred twenty-four".