106000561106101 has 16 divisors (see below), whose sum is σ = 107737303348080. Its totient is φ = 104277360844800.

The previous prime is 106000561106059. The next prime is 106000561106129. The reversal of 106000561106101 is 101601165000601.

It can be written as a sum of positive squares in 8 ways, for example, as 6759615205476 + 99240945900625 = 2599926^2 + 9961975^2 .

It is a cyclic number.

It is not a de Polignac number, because 106000561106101 - 2²⁷ = 106000426888373 is a prime.

It is a super-2 number, since 2×106000561106101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106000561106101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000561106131) 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, 338818735 + ... + 339131443.

It is an arithmetic number, because the mean of its divisors is an integer number (6733581459255).

Almost surely, 2^{106000561106101} is an apocalyptic number.

It is an amenable number.

106000561106101 is a deficient number, since it is larger than the sum of its proper divisors (1736742241979).

106000561106101 is a wasteful number, since it uses less digits than its factorization.

106000561106101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334344.

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 106000561106101 in words is "one hundred six trillion, five hundred sixty-one million, one hundred six thousand, one hundred one".