105133981 has 2 divisors, whose sum is σ = 105133982. Its totient is φ = 105133980.

The previous prime is 105133979. The next prime is 105133991. The reversal of 105133981 is 189331501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79032100 + 26101881 = 8890^2 + 5109^2 .

It is a cyclic number.

It is not a de Polignac number, because 105133981 - 2¹ = 105133979 is a prime.

It is a super-2 number, since 2×105133981² = 22106307921816722, which contains 22 as substring.

Together with 105133979, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105133991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52566990 + 52566991.

It is an arithmetic number, because the mean of its divisors is an integer number (52566991).

Almost surely, 2^105133981 is an apocalyptic number.

It is an amenable number.

105133981 is a deficient number, since it is larger than the sum of its proper divisors (1).

105133981 is an equidigital number, since it uses as much as digits as its factorization.

105133981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 105133981 is about 10253.4862851617. The cubic root of 105133981 is about 471.9699734921.

The spelling of 105133981 in words is "one hundred five million, one hundred thirty-three thousand, nine hundred eighty-one".