103214320 has 80 divisors (see below), whose sum is σ = 266848992. Its totient is φ = 36807680.

The previous prime is 103214291. The next prime is 103214339. The reversal of 103214320 is 23412301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103214294 and 103214303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45534 + ... + 47746.

Almost surely, 2^103214320 is an apocalyptic number.

103214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133424496).

103214320 is an abundant number, since it is smaller than the sum of its proper divisors (163634672).

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

103214320 is a wasteful number, since it uses less digits than its factorization.

103214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103214320 is about 10159.4448667238. Note that the first 3 decimals coincide. The cubic root of 103214320 is about 469.0797142204.

Adding to 103214320 its reverse (23412301), we get a palindrome (126626621).

It can be divided in two parts, 10321 and 4320, that added together give a palindrome (14641).

The spelling of 103214320 in words is "one hundred three million, two hundred fourteen thousand, three hundred twenty".