101066611005 has 32 divisors (see below), whose sum is σ = 190243036800. Its totient is φ = 50731474176.

The previous prime is 101066611003. The next prime is 101066611043. The reversal of 101066611005 is 500116660101.

It is not a de Polignac number, because 101066611005 - 2¹ = 101066611003 is a prime.

It is a super-2 number, since 2×101066611005² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 101066611005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101066611003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22016575 + ... + 22021164.

It is an arithmetic number, because the mean of its divisors is an integer number (5945094900).

Almost surely, 2^101066611005 is an apocalyptic number.

101066611005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101066611005 is a deficient number, since it is larger than the sum of its proper divisors (89176425795).

101066611005 is a wasteful number, since it uses less digits than its factorization.

101066611005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44037770 (or 44037764 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 101066611005 in words is "one hundred one billion, sixty-six million, six hundred eleven thousand, five".