10106005511566 has 16 divisors (see below), whose sum is σ = 15174923247504. Its totient is φ = 5047699011264.

The previous prime is 10106005511533. The next prime is 10106005511573. The reversal of 10106005511566 is 66511550060101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16102386 + ... + 16718218.

It is an arithmetic number, because the mean of its divisors is an integer number (948432702969).

Almost surely, 2^{10106005511566} is an apocalyptic number.

10106005511566 is a deficient number, since it is larger than the sum of its proper divisors (5068917735938).

10106005511566 is a wasteful number, since it uses less digits than its factorization.

10106005511566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624435.

The product of its (nonzero) digits is 27000, while the sum is 37.

Adding to 10106005511566 its reverse (66511550060101), we get a palindrome (76617555571667).

The spelling of 10106005511566 in words is "ten trillion, one hundred six billion, five million, five hundred eleven thousand, five hundred sixty-six".