100013967 has 48 divisors (see below), whose sum is σ = 161909760. Its totient is φ = 60944400.

The previous prime is 100013911. The next prime is 100013987. The reversal of 100013967 is 769310001.

It is a de Polignac number, because none of the positive numbers 2^k-100013967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100013967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013987) 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 47 ways as a sum of consecutive naturals, for example, 301992 + ... + 302322.

It is an arithmetic number, because the mean of its divisors is an integer number (3373120).

Almost surely, 2^100013967 is an apocalyptic number.

100013967 is a deficient number, since it is larger than the sum of its proper divisors (61895793).

100013967 is a wasteful number, since it uses less digits than its factorization.

100013967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 100013967 is about 10000.6983256171. The cubic root of 100013967 is about 464.1804920457.

Adding to 100013967 its reverse (769310001), we get a palindrome (869323968).

The spelling of 100013967 in words is "one hundred million, thirteen thousand, nine hundred sixty-seven".