10106006111116 has 24 divisors (see below), whose sum is σ = 17695845405504. Its totient is φ = 5050050726480.

The previous prime is 10106006111107. The next prime is 10106006111129. The reversal of 10106006111116 is 61111160060101.

10106006111116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 104869731 + ... + 104966053.

It is an arithmetic number, because the mean of its divisors is an integer number (737326891896).

Almost surely, 2^{10106006111116} is an apocalyptic number.

It is an amenable number.

10106006111116 is a deficient number, since it is larger than the sum of its proper divisors (7589839294388).

10106006111116 is a wasteful number, since it uses less digits than its factorization.

10106006111116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111381 (or 111379 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 25.

Adding to 10106006111116 its reverse (61111160060101), we get a palindrome (71217166171217).

The spelling of 10106006111116 in words is "ten trillion, one hundred six billion, six million, one hundred eleven thousand, one hundred sixteen".