100561001005105 has 16 divisors (see below), whose sum is σ = 121409429766480. Its totient is φ = 79958744506368.

The previous prime is 100561001005097. The next prime is 100561001005109. The reversal of 100561001005105 is 501500100165001.

It can be written as a sum of positive squares in 8 ways, for example, as 737882718001 + 99823118287104 = 859001^2 + 9991152^2 .

It is a cyclic number.

It is not a de Polignac number, because 100561001005105 - 2³ = 100561001005097 is a prime.

It is a super-2 number, since 2×100561001005105² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100561001005105.

It is not an unprimeable number, because it can be changed into a prime (100561001005109) 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, 46616020 + ... + 48725509.

It is an arithmetic number, because the mean of its divisors is an integer number (7588089360405).

Almost surely, 2^{100561001005105} is an apocalyptic number.

It is an amenable number.

100561001005105 is a deficient number, since it is larger than the sum of its proper divisors (20848428761375).

100561001005105 is a wasteful number, since it uses less digits than its factorization.

100561001005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95342820.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 100561001005105 in words is "one hundred trillion, five hundred sixty-one billion, one million, five thousand, one hundred five".