10106011056 has 40 divisors (see below), whose sum is σ = 26111275200. Its totient is φ = 3368143936.

The previous prime is 10106011051. The next prime is 10106011081. The reversal of 10106011056 is 65011060101.

It is not an unprimeable number, because it can be changed into a prime (10106011051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405451 + ... + 429653.

It is an arithmetic number, because the mean of its divisors is an integer number (652781880).

Almost surely, 2^10106011056 is an apocalyptic number.

10106011056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10106011056 is an abundant number, since it is smaller than the sum of its proper divisors (16005264144).

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

10106011056 is a wasteful number, since it uses less digits than its factorization.

10106011056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32913 (or 32907 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10106011056 its reverse (65011060101), we get a palindrome (75117071157).

The spelling of 10106011056 in words is "ten billion, one hundred six million, eleven thousand, fifty-six".