103540032 has 70 divisors (see below), whose sum is σ = 306940458. Its totient is φ = 34511616.

The previous prime is 103540027. The next prime is 103540033. The reversal of 103540032 is 230045301.

It can be written as a sum of positive squares in only one way, i.e., 83612736 + 19927296 = 9144^2 + 4464^2 .

It is a super-3 number, since 3×103540032³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 103539987 and 103540014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103540033) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4803 + ... + 15170.

Almost surely, 2^103540032 is an apocalyptic number.

103540032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103540032 is an abundant number, since it is smaller than the sum of its proper divisors (203400426).

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

103540032 is an equidigital number, since it uses as much as digits as its factorization.

103540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19997 (or 19978 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 103540032 is about 10175.4622499423. The cubic root of 103540032 is about 469.5726188849.

Adding to 103540032 its reverse (230045301), we get a palindrome (333585333).

The spelling of 103540032 in words is "one hundred three million, five hundred forty thousand, thirty-two".