100561216093 has 8 divisors (see below), whose sum is σ = 108301351928. Its totient is φ = 92821745664.

The previous prime is 100561216079. The next prime is 100561216123. The reversal of 100561216093 is 390612165001.

It can be written as a sum of positive squares in 4 ways, for example, as 890306244 + 99670909849 = 29838^2 + 315707^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100561216093 - 2⁹ = 100561215581 is a prime.

It is a super-2 number, since 2×100561216093² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100561216003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173221 + ... + 480757.

It is an arithmetic number, because the mean of its divisors is an integer number (13537668991).

Almost surely, 2^100561216093 is an apocalyptic number.

100561216093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100561216093 is a deficient number, since it is larger than the sum of its proper divisors (7740135835).

100561216093 is a wasteful number, since it uses less digits than its factorization.

100561216093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332703.

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 100561216093 in words is "one hundred billion, five hundred sixty-one million, two hundred sixteen thousand, ninety-three".