83985380101 has 12 divisors (see below), whose sum is σ = 97802495820. Its totient is φ = 71909940480.

The previous prime is 83985380047. The next prime is 83985380131. The reversal of 83985380101 is 10108358938.

It can be written as a sum of positive squares in 2 ways, for example, as 25808422500 + 58176957601 = 160650^2 + 241199^2 .

It is not a de Polignac number, because 83985380101 - 2¹³ = 83985371909 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 (83985380131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 876970 + ... + 968011.

It is an arithmetic number, because the mean of its divisors is an integer number (8150207985).

Almost surely, 2^83985380101 is an apocalyptic number.

It is an amenable number.

83985380101 is a deficient number, since it is larger than the sum of its proper divisors (13817115719).

83985380101 is a wasteful number, since it uses less digits than its factorization.

83985380101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845924 (or 1845917 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 83985380101 in words is "eighty-three billion, nine hundred eighty-five million, three hundred eighty thousand, one hundred one".