10105212577 has 4 divisors (see below), whose sum is σ = 10106690580. Its totient is φ = 10103734576.

The previous prime is 10105212521. The next prime is 10105212583. The reversal of 10105212577 is 77521250101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 77521250101 = 977 ⋅79346213.

It can be written as a sum of positive squares in 2 ways, for example, as 608904976 + 9496307601 = 24676^2 + 97449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10105212577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105212517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 728698 + ... + 742435.

It is an arithmetic number, because the mean of its divisors is an integer number (2526672645).

Almost surely, 2^10105212577 is an apocalyptic number.

It is an amenable number.

10105212577 is a deficient number, since it is larger than the sum of its proper divisors (1478003).

10105212577 is an equidigital number, since it uses as much as digits as its factorization.

10105212577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478002.

The product of its (nonzero) digits is 4900, while the sum is 31.

Adding to 10105212577 its reverse (77521250101), we get a palindrome (87626462678).

The spelling of 10105212577 in words is "ten billion, one hundred five million, two hundred twelve thousand, five hundred seventy-seven".