100561105073 has 48 divisors (see below), whose sum is σ = 122654483280. Its totient is φ = 81858416640.

The previous prime is 100561105069. The next prime is 100561105087. The reversal of 100561105073 is 370501165001.

It can be written as a sum of positive squares in 8 ways, for example, as 943226944 + 99617878129 = 30712^2 + 315623^2 .

It is not a de Polignac number, because 100561105073 - 2² = 100561105069 is a prime.

It is a super-2 number, since 2×100561105073² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100561605073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7413065 + ... + 7426617.

It is an arithmetic number, because the mean of its divisors is an integer number (2555301735).

Almost surely, 2^100561105073 is an apocalyptic number.

100561105073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100561105073 is a deficient number, since it is larger than the sum of its proper divisors (22093378207).

100561105073 is a wasteful number, since it uses less digits than its factorization.

100561105073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13730 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The spelling of 100561105073 in words is "one hundred billion, five hundred sixty-one million, one hundred five thousand, seventy-three".