101661105105 has 32 divisors (see below), whose sum is σ = 206549548800. Its totient is φ = 46473647616.

The previous prime is 101661105103. The next prime is 101661105149. The reversal of 101661105105 is 501501166101.

It is not a de Polignac number, because 101661105105 - 2¹ = 101661105103 is a prime.

It is a super-2 number, since 2×101661105105² (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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101661105103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53788000 + ... + 53789889.

It is an arithmetic number, because the mean of its divisors is an integer number (6454673400).

Almost surely, 2^101661105105 is an apocalyptic number.

101661105105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101661105105 is an abundant number, since it is smaller than the sum of its proper divisors (104888443695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101661105105 is a wasteful number, since it uses less digits than its factorization.

101661105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107577910 (or 107577904 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

It can be divided in two parts, 10166 and 1105105, that added together give a triangular number (1115271 = T₁₄₉₃).

The spelling of 101661105105 in words is "one hundred one billion, six hundred sixty-one million, one hundred five thousand, one hundred five".