100013966 has 8 divisors (see below), whose sum is σ = 161561064. Its totient is φ = 46160280.

The previous prime is 100013911. The next prime is 100013987. The reversal of 100013966 is 669310001.

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

It is a Harshad number since it is a multiple of its sum of digits (26), and also a Moran number because the ratio is a prime number: 3846691 = 100013966 / (1 + 0 + 0 + 0 + 1 + 3 + 9 + 6 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1923320 + ... + 1923371.

It is an arithmetic number, because the mean of its divisors is an integer number (20195133).

Almost surely, 2^100013966 is an apocalyptic number.

100013966 is a deficient number, since it is larger than the sum of its proper divisors (61547098).

100013966 is a wasteful number, since it uses less digits than its factorization.

100013966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846706.

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 100013966 is about 10000.6982756206. The cubic root of 100013966 is about 464.1804904986.

Adding to 100013966 its reverse (669310001), we get a palindrome (769323967).

The spelling of 100013966 in words is "one hundred million, thirteen thousand, nine hundred sixty-six".