100105500505561 has 8 divisors (see below), whose sum is σ = 100385559805824. Its totient is φ = 99825831534000.

The previous prime is 100105500505501. The next prime is 100105500505643. The reversal of 100105500505561 is 165505005501001.

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 100105500505561 - 2¹⁵ = 100105500472793 is a prime.

It is a super-2 number, since 2×100105500505561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105500505501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97068526 + ... + 98094391.

It is an arithmetic number, because the mean of its divisors is an integer number (12548194975728).

Almost surely, 2^{100105500505561} is an apocalyptic number.

It is an amenable number.

100105500505561 is a deficient number, since it is larger than the sum of its proper divisors (280059300263).

100105500505561 is an equidigital number, since it uses as much as digits as its factorization.

100105500505561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195164351.

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 100105500505561 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred five thousand, five hundred sixty-one".