103300272 has 90 divisors (see below), whose sum is σ = 301655172. Its totient is φ = 34222176.

The previous prime is 103300271. The next prime is 103300333. The reversal of 103300272 is 272003301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103300271) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 633663 + ... + 633825.

Almost surely, 2^103300272 is an apocalyptic number.

103300272 is a gapful number since it is divisible by the number (12) 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 103300272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150827586).

103300272 is an abundant number, since it is smaller than the sum of its proper divisors (198354900).

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

103300272 is an frugal number, since it uses more digits than its factorization.

103300272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 103300272 is about 10163.6741388142. The cubic root of 103300272 is about 469.2098872204.

Adding to 103300272 its reverse (272003301), we get a palindrome (375303573).

The spelling of 103300272 in words is "one hundred three million, three hundred thousand, two hundred seventy-two".