103006440 has 48 divisors (see below), whose sum is σ = 334772100. Its totient is φ = 27468288.

The previous prime is 103006427. The next prime is 103006447. The reversal of 103006440 is 44600301.

It can be written as a sum of positive squares in 2 ways, for example, as 98366724 + 4639716 = 9918^2 + 2154^2 .

It is a super-2 number, since 2×103006440² = 21220653362947200, which contains 22 as substring.

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 (103006447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142705 + ... + 143424.

Almost surely, 2^103006440 is an apocalyptic number.

103006440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103006440 is an abundant number, since it is smaller than the sum of its proper divisors (231765660).

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

103006440 is a wasteful number, since it uses less digits than its factorization.

103006440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286146 (or 286139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103006440 is about 10149.2088361606. The cubic root of 103006440 is about 468.7645840796.

Adding to 103006440 its reverse (44600301), we get a palindrome (147606741).

The spelling of 103006440 in words is "one hundred three million, six thousand, four hundred forty".