100105500105889 has 2 divisors, whose sum is σ = 100105500105890. Its totient is φ = 100105500105888.

The previous prime is 100105500105857. The next prime is 100105500106019. The reversal of 100105500105889 is 988501005501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82914592005025 + 17190908100864 = 9105745^2 + 4146192^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105500105889 - 2⁵ = 100105500105857 is a prime.

It is a super-2 number, since 2×100105500105889² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100105500105829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052750052944 + 50052750052945.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750052945).

Almost surely, 2^{100105500105889} is an apocalyptic number.

It is an amenable number.

100105500105889 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500105889 is an equidigital number, since it uses as much as digits as its factorization.

100105500105889 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72000, while the sum is 43.

The spelling of 100105500105889 in words is "one hundred trillion, one hundred five billion, five hundred million, one hundred five thousand, eight hundred eighty-nine".