100731985 has 8 divisors (see below), whose sum is σ = 121649256. Its totient is φ = 80071680.

The previous prime is 100731979. The next prime is 100731991. The reversal of 100731985 is 589137001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100731979) and next prime (100731991).

It can be written as a sum of positive squares in 4 ways, for example, as 2007889 + 98724096 = 1417^2 + 9936^2 .

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

It is not a de Polignac number, because 100731985 - 2¹⁵ = 100699217 is a prime.

It is a super-3 number, since 3×100731985³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100731985.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63376 + ... + 64945.

It is an arithmetic number, because the mean of its divisors is an integer number (15206157).

Almost surely, 2^100731985 is an apocalyptic number.

It is an amenable number.

100731985 is a deficient number, since it is larger than the sum of its proper divisors (20917271).

100731985 is a wasteful number, since it uses less digits than its factorization.

100731985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128483.

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 100731985 is about 10036.5325187537. The cubic root of 100731985 is about 465.2886557083.

Adding to 100731985 its reverse (589137001), we get a palindrome (689868986).

The spelling of 100731985 in words is "one hundred million, seven hundred thirty-one thousand, nine hundred eighty-five".