10106266582887 has 16 divisors (see below), whose sum is σ = 13548060684288. Its totient is φ = 6701008366080.

The previous prime is 10106266582831. The next prime is 10106266582901. The reversal of 10106266582887 is 78828566260101.

It is not a de Polignac number, because 10106266582887 - 2⁴⁰ = 9006754955111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10106266582887.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106266582807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365658 + ... + 4510680.

It is an arithmetic number, because the mean of its divisors is an integer number (846753792768).

Almost surely, 2^{10106266582887} is an apocalyptic number.

10106266582887 is a deficient number, since it is larger than the sum of its proper divisors (3441794101401).

10106266582887 is a wasteful number, since it uses less digits than its factorization.

10106266582887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149430.

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 10106266582887 in words is "ten trillion, one hundred six billion, two hundred sixty-six million, five hundred eighty-two thousand, eight hundred eighty-seven".