100105504561 has 2 divisors, whose sum is σ = 100105504562. Its totient is φ = 100105504560.

The previous prime is 100105504529. The next prime is 100105504571. The reversal of 100105504561 is 165405501001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100089344161 + 16160400 = 316369^2 + 4020^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105504561 - 2⁵ = 100105504529 is a prime.

It is a super-3 number, since 3×100105504561³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (100105504571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052752280 + 50052752281.

It is an arithmetic number, because the mean of its divisors is an integer number (50052752281).

Almost surely, 2^100105504561 is an apocalyptic number.

It is an amenable number.

100105504561 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105504561 is an equidigital number, since it uses as much as digits as its factorization.

100105504561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 100105504561 in words is "one hundred billion, one hundred five million, five hundred four thousand, five hundred sixty-one".