101982911 has 8 divisors (see below), whose sum is σ = 105206064. Its totient is φ = 98809920.

The previous prime is 101982887. The next prime is 101982919. The reversal of 101982911 is 119289101.

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

It is a cyclic number.

It is not a de Polignac number, because 101982911 - 2¹⁸ = 101720767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101982919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8390 + ... + 16563.

It is an arithmetic number, because the mean of its divisors is an integer number (13150758).

Almost surely, 2^101982911 is an apocalyptic number.

101982911 is a deficient number, since it is larger than the sum of its proper divisors (3223153).

101982911 is an equidigital number, since it uses as much as digits as its factorization.

101982911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25081.

The product of its (nonzero) digits is 1296, while the sum is 32.

The square root of 101982911 is about 10098.6588713551. The cubic root of 101982911 is about 467.2067781018.

The spelling of 101982911 in words is "one hundred one million, nine hundred eighty-two thousand, nine hundred eleven".