100105500005981 has 2 divisors, whose sum is σ = 100105500005982. Its totient is φ = 100105500005980.

The previous prime is 100105500005969. The next prime is 100105500006007. The reversal of 100105500005981 is 189500005501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99718698105625 + 386801900356 = 9985925^2 + 621934^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100105500005981 is a prime.

It is a super-2 number, since 2×100105500005981² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105500005281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052750002990 + 50052750002991.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750002991).

Almost surely, 2^{100105500005981} is an apocalyptic number.

It is an amenable number.

100105500005981 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500005981 is an equidigital number, since it uses as much as digits as its factorization.

100105500005981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9000, while the sum is 35.

Adding to 100105500005981 its reverse (189500005501001), we get a palindrome (289605505506982).

The spelling of 100105500005981 in words is "one hundred trillion, one hundred five billion, five hundred million, five thousand, nine hundred eighty-one".