103540668 has 144 divisors (see below), whose sum is σ = 310313472. Its totient is φ = 26294400.

The previous prime is 103540667. The next prime is 103540669. The reversal of 103540668 is 866045301.

It is an interprime number because it is at equal distance from previous prime (103540667) and next prime (103540669).

It is a super-3 number, since 3×103540668³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103540663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619921 + ... + 620087.

Almost surely, 2^103540668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103540668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155156736).

103540668 is an abundant number, since it is smaller than the sum of its proper divisors (206772804).

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

103540668 is a wasteful number, since it uses less digits than its factorization.

103540668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 103540668 is about 10175.4935015458. The cubic root of 103540668 is about 469.5735803410.

Adding to 103540668 its reverse (866045301), we get a palindrome (969585969).

The spelling of 103540668 in words is "one hundred three million, five hundred forty thousand, six hundred sixty-eight".