101982006 has 96 divisors (see below), whose sum is σ = 272563200. Its totient is φ = 26904960.

The previous prime is 101981989. The next prime is 101982029. The reversal of 101982006 is 600289101.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 97635 + ... + 98673.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 2^101982006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101982006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136281600).

101982006 is an abundant number, since it is smaller than the sum of its proper divisors (170581194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101982006 is a wasteful number, since it uses less digits than its factorization.

101982006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101982006 is about 10098.6140633257. The cubic root of 101982006 is about 467.2053960945.

The spelling of 101982006 in words is "one hundred one million, nine hundred eighty-two thousand, six".