10111511106 has 24 divisors (see below), whose sum is σ = 21919098240. Its totient is φ = 3368838456.

The previous prime is 10111511101. The next prime is 10111511167. The reversal of 10111511106 is 60111511101.

It is a happy number.

It is a super-2 number, since 2×10111511106² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10111511101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101050 + ... + 174453.

It is an arithmetic number, because the mean of its divisors is an integer number (913295760).

Almost surely, 2^10111511106 is an apocalyptic number.

10111511106 is an abundant number, since it is smaller than the sum of its proper divisors (11807587134).

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

10111511106 is a wasteful number, since it uses less digits than its factorization.

10111511106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277550 (or 277547 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The spelling of 10111511106 in words is "ten billion, one hundred eleven million, five hundred eleven thousand, one hundred six".