101111108 has 18 divisors (see below), whose sum is σ = 205833726. Its totient is φ = 43333248.

The previous prime is 101111071. The next prime is 101111111. The reversal of 101111108 is 801111101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 54434884 + 46676224 = 7378^2 + 6832^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101111092 and 101111101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 257741 + ... + 258132.

It is an arithmetic number, because the mean of its divisors is an integer number (11435207).

Almost surely, 2^101111108 is an apocalyptic number.

It is an amenable number.

101111108 is an abundant number, since it is smaller than the sum of its proper divisors (104722618).

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

101111108 is a wasteful number, since it uses less digits than its factorization.

101111108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515891 (or 515882 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

The square root of 101111108 is about 10055.4019313004. The cubic root of 101111108 is about 465.8716575097.

Adding to 101111108 its reverse (801111101), we get a palindrome (902222209).

The spelling of 101111108 in words is "one hundred one million, one hundred eleven thousand, one hundred eight".