100756016109 has 48 divisors (see below), whose sum is σ = 178998543360. Its totient is φ = 53299745280.

The previous prime is 100756016099. The next prime is 100756016113. The reversal of 100756016109 is 901610657001.

It is a happy number.

It is not a de Polignac number, because 100756016109 - 2⁸ = 100756015853 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100756016159) 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 47 ways as a sum of consecutive naturals, for example, 705789 + ... + 836450.

It is an arithmetic number, because the mean of its divisors is an integer number (3729136320).

Almost surely, 2^100756016109 is an apocalyptic number.

It is an amenable number.

100756016109 is a deficient number, since it is larger than the sum of its proper divisors (78242527251).

100756016109 is a wasteful number, since it uses less digits than its factorization.

100756016109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542330 (or 1542327 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 100756016109 in words is "one hundred billion, seven hundred fifty-six million, sixteen thousand, one hundred nine".