103133440 has 72 divisors (see below), whose sum is σ = 248897880. Its totient is φ = 40943616.

The previous prime is 103133419. The next prime is 103133477. The reversal of 103133440 is 44331301.

It can be written as a sum of positive squares in 4 ways, for example, as 61968384 + 41165056 = 7872^2 + 6416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251956 + ... + 252364.

It is an arithmetic number, because the mean of its divisors is an integer number (3456915).

Almost surely, 2^103133440 is an apocalyptic number.

103133440 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 103133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124448940).

103133440 is an abundant number, since it is smaller than the sum of its proper divisors (145764440).

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

103133440 is an equidigital number, since it uses as much as digits as its factorization.

103133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 103133440 is about 10155.4635541663. The cubic root of 103133440 is about 468.9571566739.

Adding to 103133440 its reverse (44331301), we get a palindrome (147464741).

The spelling of 103133440 in words is "one hundred three million, one hundred thirty-three thousand, four hundred forty".