10106005545277 has 2 divisors, whose sum is σ = 10106005545278. Its totient is φ = 10106005545276.

The previous prime is 10106005545263. The next prime is 10106005545299. The reversal of 10106005545277 is 77254550060101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6770893184836 + 3335112360441 = 2602094^2 + 1826229^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106005545277 - 2⁷ = 10106005545149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10106005545877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053002772638 + 5053002772639.

It is an arithmetic number, because the mean of its divisors is an integer number (5053002772639).

Almost surely, 2^{10106005545277} is an apocalyptic number.

It is an amenable number.

10106005545277 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106005545277 is an equidigital number, since it uses as much as digits as its factorization.

10106005545277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294000, while the sum is 43.

The spelling of 10106005545277 in words is "ten trillion, one hundred six billion, five million, five hundred forty-five thousand, two hundred seventy-seven".