103204243122431 has 48 divisors (see below), whose sum is σ = 114881829279840. Its totient is φ = 92634423552000.

The previous prime is 103204243122367. The next prime is 103204243122451. The reversal of 103204243122431 is 134221342402301.

It is a happy number.

It is not a de Polignac number, because 103204243122431 - 2⁶ = 103204243122367 is a prime.

It is a super-2 number, since 2×103204243122431² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103204243122451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16949289635 + ... + 16949295723.

It is an arithmetic number, because the mean of its divisors is an integer number (2393371443330).

Almost surely, 2^{103204243122431} is an apocalyptic number.

103204243122431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103204243122431 is a deficient number, since it is larger than the sum of its proper divisors (11677586157409).

103204243122431 is a wasteful number, since it uses less digits than its factorization.

103204243122431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 103204243122431 its reverse (134221342402301), we get a palindrome (237425585524732).

The spelling of 103204243122431 in words is "one hundred three trillion, two hundred four billion, two hundred forty-three million, one hundred twenty-two thousand, four hundred thirty-one".