106611120 has 320 divisors, whose sum is σ = 458542080. Its totient is φ = 22118400.

The previous prime is 106611079. The next prime is 106611133. The reversal of 106611120 is 21116601.

106611120 is a `hidden beast` number, since 1 + 0 + 661 + 1 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×106611120² = 22731861815308800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106611093 and 106611102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166000 + ... + 166640.

It is an arithmetic number, because the mean of its divisors is an integer number (1432944).

Almost surely, 2^106611120 is an apocalyptic number.

106611120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106611120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229271040).

106611120 is an abundant number, since it is smaller than the sum of its proper divisors (351930960).

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

106611120 is a wasteful number, since it uses less digits than its factorization.

106611120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 106611120 is about 10325.2660982659. The cubic root of 106611120 is about 474.1701039853.

Adding to 106611120 its reverse (21116601), we get a palindrome (127727721).

It can be divided in two parts, 10661 and 1120, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 106611120 in words is "one hundred six million, six hundred eleven thousand, one hundred twenty".