106611660 has 96 divisors (see below), whose sum is σ = 349171200. Its totient is φ = 26930880.

The previous prime is 106611653. The next prime is 106611677. The reversal of 106611660 is 66116601.

It is a super-2 number, since 2×106611660² = 22732092095911200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5065 + ... + 15455.

It is an arithmetic number, because the mean of its divisors is an integer number (3637200).

Almost surely, 2^106611660 is an apocalyptic number.

106611660 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 106611660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174585600).

106611660 is an abundant number, since it is smaller than the sum of its proper divisors (242559540).

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

106611660 is a wasteful number, since it uses less digits than its factorization.

106611660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10428 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106611660 is about 10325.2922476800. The cubic root of 106611660 is about 474.1709045629.

It can be divided in two parts, 10661 and 1660, that added together give a palindrome (12321).

The spelling of 106611660 in words is "one hundred six million, six hundred eleven thousand, six hundred sixty".