103936272 has 80 divisors (see below), whose sum is σ = 295963200. Its totient is φ = 31168000.

The previous prime is 103936243. The next prime is 103936303. The reversal of 103936272 is 272639301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 52354 + ... + 54302.

It is an arithmetic number, because the mean of its divisors is an integer number (3699540).

Almost surely, 2^103936272 is an apocalyptic number.

103936272 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 103936272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981600).

103936272 is an abundant number, since it is smaller than the sum of its proper divisors (192026928).

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

103936272 is a wasteful number, since it uses less digits than its factorization.

103936272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 103936272 is about 10194.9140261211. The cubic root of 103936272 is about 470.1708628811.

The spelling of 103936272 in words is "one hundred three million, nine hundred thirty-six thousand, two hundred seventy-two".