101687081055 has 32 divisors (see below), whose sum is σ = 186272469504. Its totient is φ = 46402928256.

The previous prime is 101687080993. The next prime is 101687081101. The reversal of 101687081055 is 550180786101.

It is not a de Polignac number, because 101687081055 - 2¹¹ = 101687079007 is a prime.

It is a super-2 number, since 2×101687081055² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101687080998 and 101687081016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800964 + ... + 919193.

It is an arithmetic number, because the mean of its divisors is an integer number (5821014672).

Almost surely, 2^101687081055 is an apocalyptic number.

101687081055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101687081055 is a deficient number, since it is larger than the sum of its proper divisors (84585388449).

101687081055 is a wasteful number, since it uses less digits than its factorization.

101687081055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720735.

The product of its (nonzero) digits is 67200, while the sum is 42.

The spelling of 101687081055 in words is "one hundred one billion, six hundred eighty-seven million, eighty-one thousand, fifty-five".