111100100106 has 32 divisors (see below), whose sum is σ = 223192728000. Its totient is φ = 36868043520.

The previous prime is 111100100101. The next prime is 111100100113. The reversal of 111100100106 is 601001001111.

111100100106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111100100106² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111100100091 and 111100100100.

It is not an unprimeable number, because it can be changed into a prime (111100100101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5396320 + ... + 5416868.

It is an arithmetic number, because the mean of its divisors is an integer number (6974772750).

Almost surely, 2^111100100106 is an apocalyptic number.

111100100106 is an abundant number, since it is smaller than the sum of its proper divisors (112092627894).

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

111100100106 is a wasteful number, since it uses less digits than its factorization.

111100100106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24534.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 111100100106 its reverse (601001001111), we get a palindrome (712101101217).

The spelling of 111100100106 in words is "one hundred eleven billion, one hundred million, one hundred thousand, one hundred six".