10412105431 has 64 divisors (see below), whose sum is σ = 13908787200. Its totient is φ = 7564492800.

The previous prime is 10412105401. The next prime is 10412105467. The reversal of 10412105431 is 13450121401.

It is a de Polignac number, because none of the positive numbers 2^k-10412105431 is a prime.

It is a super-3 number, since 3×10412105431³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412105401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13539415 + ... + 13540183.

It is an arithmetic number, because the mean of its divisors is an integer number (217324800).

Almost surely, 2^10412105431 is an apocalyptic number.

10412105431 is a deficient number, since it is larger than the sum of its proper divisors (3496681769).

10412105431 is a wasteful number, since it uses less digits than its factorization.

10412105431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10412105431 its reverse (13450121401), we get a palindrome (23862226832).

The spelling of 10412105431 in words is "ten billion, four hundred twelve million, one hundred five thousand, four hundred thirty-one".