103083409 has 27 divisors (see below), whose sum is σ = 124445307. Its totient is φ = 85285200.

The previous prime is 103083403. The next prime is 103083419. The reversal of 103083409 is 904380301.

103083409 = 1³ + 2³ + ... + 142³.

The square root of 103083409 is 10153.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15249025 + 87834384 = 3905^2 + 9372^2 .

It is not a de Polignac number, because 103083409 - 2¹⁵ = 103050641 is a prime.

It is a super-2 number, since 2×103083409² = 21252378422122562, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103083403) 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 26 ways as a sum of consecutive naturals, for example, 1451844 + ... + 1451914.

Almost surely, 2^103083409 is an apocalyptic number.

103083409 is the 10153-rd square number.

103083409 is the 5077-th centered octagonal number.

It is an amenable number.

103083409 is a deficient number, since it is larger than the sum of its proper divisors (21361898).

103083409 is an equidigital number, since it uses as much as digits as its factorization.

103083409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 103083409 is about 468.8813125686.

The spelling of 103083409 in words is "one hundred three million, eighty-three thousand, four hundred nine".