103414272 has 80 divisors (see below), whose sum is σ = 296751840. Its totient is φ = 31813632.

The previous prime is 103414271. The next prime is 103414303. The reversal of 103414272 is 272414301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103414271) 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 7 ways as a sum of consecutive naturals, for example, 17379 + ... + 22557.

It is an arithmetic number, because the mean of its divisors is an integer number (3709398).

Almost surely, 2^103414272 is an apocalyptic number.

103414272 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 103414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148375920).

103414272 is an abundant number, since it is smaller than the sum of its proper divisors (193337568).

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

103414272 is an equidigital number, since it uses as much as digits as its factorization.

103414272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 103414272 is about 10169.2808005286. The cubic root of 103414272 is about 469.3824271418.

Adding to 103414272 its reverse (272414301), we get a palindrome (375828573).

The spelling of 103414272 in words is "one hundred three million, four hundred fourteen thousand, two hundred seventy-two".