106602112 has 32 divisors (see below), whose sum is σ = 213685920. Its totient is φ = 52971264.

The previous prime is 106602107. The next prime is 106602113. The reversal of 106602112 is 211206601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106602112² = 22728020565721088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106602112.

It is not an unprimeable number, because it can be changed into a prime (106602113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18883 + ... + 23869.

It is an arithmetic number, because the mean of its divisors is an integer number (6677685).

Almost surely, 2^106602112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106842960).

106602112 is an abundant number, since it is smaller than the sum of its proper divisors (107083808).

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

106602112 is an equidigital number, since it uses as much as digits as its factorization.

106602112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 106602112 is about 10324.8298775331. The cubic root of 106602112 is about 474.1567487662.

Adding to 106602112 its reverse (211206601), we get a palindrome (317808713).

The spelling of 106602112 in words is "one hundred six million, six hundred two thousand, one hundred twelve".