105112981 has 2 divisors, whose sum is σ = 105112982. Its totient is φ = 105112980.

The previous prime is 105112979. The next prime is 105112993. The reversal of 105112981 is 189211501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104734756 + 378225 = 10234^2 + 615^2 .

It is a cyclic number.

It is not a de Polignac number, because 105112981 - 2¹ = 105112979 is a prime.

It is a super-2 number, since 2×105112981² = 22097477549412722, which contains 22 as substring.

Together with 105112979, 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 (105119981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52556490 + 52556491.

It is an arithmetic number, because the mean of its divisors is an integer number (52556491).

Almost surely, 2^105112981 is an apocalyptic number.

It is an amenable number.

105112981 is a deficient number, since it is larger than the sum of its proper divisors (1).

105112981 is an equidigital number, since it uses as much as digits as its factorization.

105112981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 28.

The square root of 105112981 is about 10252.4621920785. The cubic root of 105112981 is about 471.9385468327.

The spelling of 105112981 in words is "one hundred five million, one hundred twelve thousand, nine hundred eighty-one".