126107865 has 48 divisors (see below), whose sum is σ = 238706832. Its totient is φ = 61212672.

The previous prime is 126107843. The next prime is 126107881. The reversal of 126107865 is 568701621.

It can be written as a sum of positive squares in 8 ways, for example, as 488601 + 125619264 = 699^2 + 11208^2 .

It is not a de Polignac number, because 126107865 - 2⁵ = 126107833 is a prime.

It is a super-2 number, since 2×126107865² = 31806387229716450, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 41229 + ... + 44181.

It is an arithmetic number, because the mean of its divisors is an integer number (4973059).

Almost surely, 2^126107865 is an apocalyptic number.

126107865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126107865 is a deficient number, since it is larger than the sum of its proper divisors (112598967).

126107865 is a wasteful number, since it uses less digits than its factorization.

126107865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3047 counting only the distinct ones).

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

The square root of 126107865 is about 11229.7758214490. The cubic root of 126107865 is about 501.4728107307.

The spelling of 126107865 in words is "one hundred twenty-six million, one hundred seven thousand, eight hundred sixty-five".