100971843 has 16 divisors (see below), whose sum is σ = 154003200. Its totient is φ = 57645216.

The previous prime is 100971841. The next prime is 100971847. The reversal of 100971843 is 348179001.

It is not a de Polignac number, because 100971843 - 2¹ = 100971841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100971841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39696 + ... + 42162.

It is an arithmetic number, because the mean of its divisors is an integer number (9625200).

Almost surely, 2^100971843 is an apocalyptic number.

100971843 is a deficient number, since it is larger than the sum of its proper divisors (53031357).

100971843 is a wasteful number, since it uses less digits than its factorization.

100971843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 100971843 is about 10048.4746603651. The cubic root of 100971843 is about 465.6576703830.

The spelling of 100971843 in words is "one hundred million, nine hundred seventy-one thousand, eight hundred forty-three".