106442112 has 96 divisors (see below), whose sum is σ = 328956120. Its totient is φ = 30406656.

The previous prime is 106442107. The next prime is 106442153. The reversal of 106442112 is 211244601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106442112² = 22659846414041088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15988 + ... + 21644.

Almost surely, 2^106442112 is an apocalyptic number.

106442112 is a gapful number since it is divisible by the number (12) 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 106442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164478060).

106442112 is an abundant number, since it is smaller than the sum of its proper divisors (222514008).

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

106442112 is an equidigital number, since it uses as much as digits as its factorization.

106442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 106442112 is about 10317.0786562864. The cubic root of 106442112 is about 473.9194080432.

Adding to 106442112 its reverse (211244601), we get a palindrome (317686713).

The spelling of 106442112 in words is "one hundred six million, four hundred forty-two thousand, one hundred twelve".