100947 has 32 divisors (see below), whose sum is σ = 184320. Its totient is φ = 47520.

The previous prime is 100943. The next prime is 100957. The reversal of 100947 is 749001.

100947 is a nontrivial binomial coefficient, being equal to C(23, 6).

It is not a de Polignac number, because 100947 - 2² = 100943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

100947 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100947.

It is not an unprimeable number, because it can be changed into a prime (100943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4378 + ... + 4400.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2¹⁰⁰⁹⁴⁷ is an apocalyptic number.

100947 is a deficient number, since it is larger than the sum of its proper divisors (83373).

100947 is a wasteful number, since it uses less digits than its factorization.

100947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 100947 is about 317.7215762267. The cubic root of 100947 is about 46.5619477285.

Adding to 100947 its reverse (749001), we get a palindrome (849948).

It can be divided in two parts, 10094 and 7, that added together give a palindrome (10101).

The spelling of 100947 in words is "one hundred thousand, nine hundred forty-seven".