100413871 has 8 divisors (see below), whose sum is σ = 101368224. Its totient is φ = 99464160.

The previous prime is 100413851. The next prime is 100413881. The reversal of 100413871 is 178314001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100413871 - 2¹⁵ = 100381103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53926 + ... + 55756.

It is an arithmetic number, because the mean of its divisors is an integer number (12671028).

Almost surely, 2^100413871 is an apocalyptic number.

100413871 is a deficient number, since it is larger than the sum of its proper divisors (954353).

100413871 is a wasteful number, since it uses less digits than its factorization.

100413871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 100413871 is about 10020.6721830424. The cubic root of 100413871 is about 464.7983416642.

Adding to 100413871 its reverse (178314001), we get a palindrome (278727872).

The spelling of 100413871 in words is "one hundred million, four hundred thirteen thousand, eight hundred seventy-one".