100414115047327 has 16 divisors (see below), whose sum is σ = 101355280551360. Its totient is φ = 99476177697792.

The previous prime is 100414115047247. The next prime is 100414115047349. The reversal of 100414115047327 is 723740511414001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100414115047327 - 2¹⁹ = 100414114523039 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100414115047327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414115047387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129671763 + ... + 130443835.

It is an arithmetic number, because the mean of its divisors is an integer number (6334705034460).

Almost surely, 2^{100414115047327} is an apocalyptic number.

100414115047327 is a deficient number, since it is larger than the sum of its proper divisors (941165504033).

100414115047327 is a wasteful number, since it uses less digits than its factorization.

100414115047327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774162.

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 100414115047327 in words is "one hundred trillion, four hundred fourteen billion, one hundred fifteen million, forty-seven thousand, three hundred twenty-seven".