103530240 has 432 divisors, whose sum is σ = 420900480. Its totient is φ = 23224320.

The previous prime is 103530239. The next prime is 103530241. The reversal of 103530240 is 42035301.

It is an interprime number because it is at equal distance from previous prime (103530239) and next prime (103530241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103530241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2407659 + ... + 2407701.

Almost surely, 2^103530240 is an apocalyptic number.

103530240 is a gapful number since it is divisible by the number (10) 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 103530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210450240).

103530240 is an abundant number, since it is smaller than the sum of its proper divisors (317370240).

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

103530240 is a wasteful number, since it uses less digits than its factorization.

103530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

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

The square root of 103530240 is about 10174.9810810635. The cubic root of 103530240 is about 469.5578155928.

Adding to 103530240 its reverse (42035301), we get a palindrome (145565541).

The spelling of 103530240 in words is "one hundred three million, five hundred thirty thousand, two hundred forty".