106011116 has 24 divisors (see below), whose sum is σ = 197769600. Its totient is φ = 49548032.

The previous prime is 106011109. The next prime is 106011137. The reversal of 106011116 is 611110601.

It is a super-2 number, since 2×106011116² = 22476713431130912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 106011094 and 106011103.

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, 4901 + ... + 15363.

It is an arithmetic number, because the mean of its divisors is an integer number (8240400).

Almost surely, 2^106011116 is an apocalyptic number.

It is an amenable number.

106011116 is a deficient number, since it is larger than the sum of its proper divisors (91758484).

106011116 is a wasteful number, since it uses less digits than its factorization.

106011116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10633 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 106011116 is about 10296.1699675170. The cubic root of 106011116 is about 473.2788918849.

Adding to 106011116 its reverse (611110601), we get a palindrome (717121717).

The spelling of 106011116 in words is "one hundred six million, eleven thousand, one hundred sixteen".