105152981 has 2 divisors, whose sum is σ = 105152982. Its totient is φ = 105152980.

The previous prime is 105152969. The next prime is 105153071. The reversal of 105152981 is 189251501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100180081 + 4972900 = 10009^2 + 2230^2 .

It is a cyclic number.

It is not a de Polignac number, because 105152981 - 2¹⁰ = 105151957 is a prime.

It is a super-2 number, since 2×105152981² = 22114298826372722, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105152911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52576490 + 52576491.

It is an arithmetic number, because the mean of its divisors is an integer number (52576491).

Almost surely, 2^105152981 is an apocalyptic number.

It is an amenable number.

105152981 is a deficient number, since it is larger than the sum of its proper divisors (1).

105152981 is an equidigital number, since it uses as much as digits as its factorization.

105152981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 32.

The square root of 105152981 is about 10254.4127574425. The cubic root of 105152981 is about 471.9984035305.

The spelling of 105152981 in words is "one hundred five million, one hundred fifty-two thousand, nine hundred eighty-one".