100126107 has 48 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 58392576.

The previous prime is 100126093. The next prime is 100126109. The reversal of 100126107 is 701621001.

It is not a de Polignac number, because 100126107 - 2⁶ = 100126043 is a prime.

It is a super-3 number, since 3×100126107³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100126107.

It is not an unprimeable number, because it can be changed into a prime (100126109) 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 47 ways as a sum of consecutive naturals, for example, 129819 + ... + 130587.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2^100126107 is an apocalyptic number.

100126107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

100126107 is a deficient number, since it is larger than the sum of its proper divisors (64198053).

100126107 is a wasteful number, since it uses less digits than its factorization.

100126107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100126107 is about 10006.3033633805. The cubic root of 100126107 is about 464.3539136830.

Adding to 100126107 its reverse (701621001), we get a palindrome (801747108).

The spelling of 100126107 in words is "one hundred million, one hundred twenty-six thousand, one hundred seven".