103618431 has 24 divisors (see below), whose sum is σ = 171325440. Its totient is φ = 59116176.

The previous prime is 103618429. The next prime is 103618441. The reversal of 103618431 is 134816301.

103618431 is a `hidden beast` number, since 1 + 0 + 3 + 618 + 43 + 1 = 666.

It is not a de Polignac number, because 103618431 - 2¹ = 103618429 is a prime.

It is a super-3 number, since 3×103618431³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 103618395 and 103618404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103618441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64666 + ... + 66248.

It is an arithmetic number, because the mean of its divisors is an integer number (7138560).

Almost surely, 2^103618431 is an apocalyptic number.

103618431 is a deficient number, since it is larger than the sum of its proper divisors (67707009).

103618431 is a wasteful number, since it uses less digits than its factorization.

103618431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103618431 is about 10179.3138766815. The cubic root of 103618431 is about 469.6911068271.

The spelling of 103618431 in words is "one hundred three million, six hundred eighteen thousand, four hundred thirty-one".