103507272 has 108 divisors (see below), whose sum is σ = 310986585. Its totient is φ = 31078080.

The previous prime is 103507259. The next prime is 103507273. The reversal of 103507272 is 272705301.

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 can be written as a sum of positive squares in 2 ways, for example, as 99321156 + 4186116 = 9966^2 + 2046^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7194.

It is not an unprimeable number, because it can be changed into a prime (103507273) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 949554 + ... + 949662.

Almost surely, 2^103507272 is an apocalyptic number.

103507272 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 103507272

103507272 is an abundant number, since it is smaller than the sum of its proper divisors (207479313).

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

103507272 is a wasteful number, since it uses less digits than its factorization.

103507272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 103507272 is about 10173.8523677120. The cubic root of 103507272 is about 469.5230895020.

The spelling of 103507272 in words is "one hundred three million, five hundred seven thousand, two hundred seventy-two".