126105876 has 48 divisors (see below), whose sum is σ = 352094400. Its totient is φ = 38801376.

The previous prime is 126105857. The next prime is 126105877. The reversal of 126105876 is 678501621.

126105876 is a `hidden beast` number, since 12 + 61 + 0 + 587 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126105876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126105877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43506 + ... + 46313.

It is an arithmetic number, because the mean of its divisors is an integer number (7335300).

Almost surely, 2^126105876 is an apocalyptic number.

It is an amenable number.

126105876 is an abundant number, since it is smaller than the sum of its proper divisors (225988524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126105876 is a wasteful number, since it uses less digits than its factorization.

126105876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89845 (or 89837 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 126105876 is about 11229.6872618965. The cubic root of 126105876 is about 501.4701742717.

The spelling of 126105876 in words is "one hundred twenty-six million, one hundred five thousand, eight hundred seventy-six".