101805971 has 6 divisors (see below), whose sum is σ = 107446572. Its totient is φ = 96447420.

The previous prime is 101805961. The next prime is 101805973. The reversal of 101805971 is 179508101.

It is not a de Polignac number, because 101805971 - 2¹⁴ = 101789587 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101805973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140645 + ... + 141366.

It is an arithmetic number, because the mean of its divisors is an integer number (17907762).

Almost surely, 2^101805971 is an apocalyptic number.

101805971 is a deficient number, since it is larger than the sum of its proper divisors (5640601).

101805971 is an equidigital number, since it uses as much as digits as its factorization.

101805971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282049 (or 282030 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 32.

The square root of 101805971 is about 10089.8944989529. The cubic root of 101805971 is about 466.9364209673.

The spelling of 101805971 in words is "one hundred one million, eight hundred five thousand, nine hundred seventy-one".