101006983 has 32 divisors (see below), whose sum is σ = 135360000. Its totient is φ = 74511360.

The previous prime is 101006981. The next prime is 101006987. The reversal of 101006983 is 389600101.

It is a happy number.

It is not a de Polignac number, because 101006983 - 2¹ = 101006981 is a prime.

It is a super-2 number, since 2×101006983² = 20404821229524578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006981) 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 31 ways as a sum of consecutive naturals, for example, 70983 + ... + 72391.

It is an arithmetic number, because the mean of its divisors is an integer number (4230000).

Almost surely, 2^101006983 is an apocalyptic number.

101006983 is a deficient number, since it is larger than the sum of its proper divisors (34353017).

101006983 is a wasteful number, since it uses less digits than its factorization.

101006983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 101006983 is about 10050.2230323511. The cubic root of 101006983 is about 465.7116831725.

The spelling of 101006983 in words is "one hundred one million, six thousand, nine hundred eighty-three".