100105059961 has 2 divisors, whose sum is σ = 100105059962. Its totient is φ = 100105059960.

The previous prime is 100105059949. The next prime is 100105060007. The reversal of 100105059961 is 169950501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98517515625 + 1587544336 = 313875^2 + 39844^2 .

It is an emirp because it is prime and its reverse (169950501001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100105059961 - 2⁷ = 100105059833 is a prime.

It is a super-3 number, since 3×100105059961³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100105059961.

It is not a weakly prime, because it can be changed into another prime (100105059361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052529980 + 50052529981.

It is an arithmetic number, because the mean of its divisors is an integer number (50052529981).

Almost surely, 2^100105059961 is an apocalyptic number.

It is an amenable number.

100105059961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105059961 is an equidigital number, since it uses as much as digits as its factorization.

100105059961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12150, while the sum is 37.

The spelling of 100105059961 in words is "one hundred billion, one hundred five million, fifty-nine thousand, nine hundred sixty-one".