101005681087 has 6 divisors (see below), whose sum is σ = 104369034624. Its totient is φ = 97747432380.

The previous prime is 101005681037. The next prime is 101005681099. The reversal of 101005681087 is 780186500101.

It is not a de Polignac number, because 101005681087 - 2¹⁹ = 101005156799 is a prime.

It is a super-2 number, since 2×101005681087² (a number of 23 digits) 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 (101005681037) 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 5 ways as a sum of consecutive naturals, for example, 52551423 + ... + 52553344.

It is an arithmetic number, because the mean of its divisors is an integer number (17394839104).

Almost surely, 2^101005681087 is an apocalyptic number.

101005681087 is a deficient number, since it is larger than the sum of its proper divisors (3363353537).

101005681087 is an equidigital number, since it uses as much as digits as its factorization.

101005681087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105104829 (or 105104798 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 37.

The spelling of 101005681087 in words is "one hundred one billion, five million, six hundred eighty-one thousand, eighty-seven".