103580431 has 16 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 94457440.

The previous prime is 103580429. The next prime is 103580443. The reversal of 103580431 is 134085301.

It is a cyclic number.

It is not a de Polignac number, because 103580431 - 2¹ = 103580429 is a prime.

It is a super-3 number, since 3×103580431³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103580396 and 103580405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103580231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54426 + ... + 56296.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2^103580431 is an apocalyptic number.

103580431 is a deficient number, since it is larger than the sum of its proper divisors (9638129).

103580431 is a wasteful number, since it uses less digits than its factorization.

103580431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 103580431 is about 10177.4471750042. The cubic root of 103580431 is about 469.6336831810.

The spelling of 103580431 in words is "one hundred three million, five hundred eighty thousand, four hundred thirty-one".