126400575105 has 48 divisors (see below), whose sum is σ = 250596712704. Its totient is φ = 57736229760.

The previous prime is 126400575023. The next prime is 126400575107. The reversal of 126400575105 is 501575004621.

126400575105 is a `hidden beast` number, since 1 + 2 + 640 + 0 + 5 + 7 + 5 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 126400575105 - 2⁸ = 126400574849 is a prime.

It is a super-2 number, since 2×126400575105² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126400575105.

It is not an unprimeable number, because it can be changed into a prime (126400575107) 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, 227460 + ... + 551850.

It is an arithmetic number, because the mean of its divisors is an integer number (5220764848).

Almost surely, 2^126400575105 is an apocalyptic number.

126400575105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126400575105 is a deficient number, since it is larger than the sum of its proper divisors (124196137599).

126400575105 is a wasteful number, since it uses less digits than its factorization.

126400575105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325646 (or 325643 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Adding to 126400575105 its reverse (501575004621), we get a palindrome (627975579726).

The spelling of 126400575105 in words is "one hundred twenty-six billion, four hundred million, five hundred seventy-five thousand, one hundred five".