100661506105 has 16 divisors (see below), whose sum is σ = 127906782480. Its totient is φ = 75787773952.

The previous prime is 100661506031. The next prime is 100661506109. The reversal of 100661506105 is 501605166001.

It can be written as a sum of positive squares in 8 ways, for example, as 16832727081 + 83828779024 = 129741^2 + 289532^2 .

It is a cyclic number.

It is not a de Polignac number, because 100661506105 - 2¹¹ = 100661504057 is a prime.

It is a super-2 number, since 2×100661506105² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100661506109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2681727 + ... + 2719003.

It is an arithmetic number, because the mean of its divisors is an integer number (7994173905).

Almost surely, 2^100661506105 is an apocalyptic number.

It is an amenable number.

100661506105 is a deficient number, since it is larger than the sum of its proper divisors (27245276375).

100661506105 is a wasteful number, since it uses less digits than its factorization.

100661506105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69068.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 100661506105 in words is "one hundred billion, six hundred sixty-one million, five hundred six thousand, one hundred five".