101884365005 has 16 divisors (see below), whose sum is σ = 123403882800. Its totient is φ = 80745984000.

The previous prime is 101884365001. The next prime is 101884365007. The reversal of 101884365005 is 500563488101.

It can be written as a sum of positive squares in 8 ways, for example, as 196084009 + 101688280996 = 14003^2 + 318886^2 .

It is not a de Polignac number, because 101884365005 - 2² = 101884365001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101884365001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4233005 + ... + 4257005.

It is an arithmetic number, because the mean of its divisors is an integer number (7712742675).

Almost surely, 2^101884365005 is an apocalyptic number.

It is an amenable number.

101884365005 is a deficient number, since it is larger than the sum of its proper divisors (21519517795).

101884365005 is a wasteful number, since it uses less digits than its factorization.

101884365005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31904.

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 101884365005 in words is "one hundred one billion, eight hundred eighty-four million, three hundred sixty-five thousand, five".