100082973 has 32 divisors (see below), whose sum is σ = 145981440. Its totient is φ = 60822720.

The previous prime is 100082971. The next prime is 100082999. The reversal of 100082973 is 379280001.

It is a happy number.

It is not a de Polignac number, because 100082973 - 2¹ = 100082971 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100082973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100082971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115540 + ... + 116402.

It is an arithmetic number, because the mean of its divisors is an integer number (4561920).

Almost surely, 2^100082973 is an apocalyptic number.

It is an amenable number.

100082973 is a deficient number, since it is larger than the sum of its proper divisors (45898467).

100082973 is a wasteful number, since it uses less digits than its factorization.

100082973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 100082973 is about 10004.1477897920. The cubic root of 100082973 is about 464.2872233887.

The spelling of 100082973 in words is "one hundred million, eighty-two thousand, nine hundred seventy-three".