126105067431 has 64 divisors (see below), whose sum is σ = 233363496960. Its totient is φ = 65633379840.

The previous prime is 126105067423. The next prime is 126105067453. The reversal of 126105067431 is 134760501621.

126105067431 is a `hidden beast` number, since 1 + 2 + 610 + 5 + 0 + 6 + 7 + 4 + 31 = 666.

It is not a de Polignac number, because 126105067431 - 2³ = 126105067423 is a prime.

It is a super-2 number, since 2×126105067431² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126105067471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533436 + ... + 732641.

It is an arithmetic number, because the mean of its divisors is an integer number (3646304640).

Almost surely, 2^126105067431 is an apocalyptic number.

126105067431 is a deficient number, since it is larger than the sum of its proper divisors (107258429529).

126105067431 is a wasteful number, since it uses less digits than its factorization.

126105067431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266141 (or 1266135 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 126105067431 in words is "one hundred twenty-six billion, one hundred five million, sixty-seven thousand, four hundred thirty-one".