1051106061006 has 96 divisors (see below), whose sum is σ = 2393994657600. Its totient is φ = 332659008000.

The previous prime is 1051106060993. The next prime is 1051106061007. The reversal of 1051106061006 is 6001606011501.

1051106061006 is a `hidden beast` number, since 1 + 0 + 51 + 1 + 0 + 606 + 1 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×1051106061006² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051106061007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106156656 + ... + 106166556.

It is an arithmetic number, because the mean of its divisors is an integer number (24937444350).

Almost surely, 2^{1051106061006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051106061006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196997328800).

1051106061006 is an abundant number, since it is smaller than the sum of its proper divisors (1342888596594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1051106061006 is a wasteful number, since it uses less digits than its factorization.

1051106061006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11802 (or 11799 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1051106061006 in words is "one trillion, fifty-one billion, one hundred six million, sixty-one thousand, six".