105010142681 has 2 divisors, whose sum is σ = 105010142682. Its totient is φ = 105010142680.

The previous prime is 105010142651. The next prime is 105010142701. The reversal of 105010142681 is 186241010501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76779422281 + 28230720400 = 277091^2 + 168020^2 .

It is a cyclic number.

It is not a de Polignac number, because 105010142681 - 2¹⁴ = 105010126297 is a prime.

It is a super-2 number, since 2×105010142681² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105010142651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505071340 + 52505071341.

It is an arithmetic number, because the mean of its divisors is an integer number (52505071341).

Almost surely, 2^105010142681 is an apocalyptic number.

It is an amenable number.

105010142681 is a deficient number, since it is larger than the sum of its proper divisors (1).

105010142681 is an equidigital number, since it uses as much as digits as its factorization.

105010142681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 29.

The spelling of 105010142681 in words is "one hundred five billion, ten million, one hundred forty-two thousand, six hundred eighty-one".