112101066 has 96 divisors (see below), whose sum is σ = 313372800. Its totient is φ = 28103040.

The previous prime is 112101061. The next prime is 112101089. The reversal of 112101066 is 660101211.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112101061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38800 + ... + 41588.

It is an arithmetic number, because the mean of its divisors is an integer number (3264300).

Almost surely, 2^112101066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112101066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

112101066 is an abundant number, since it is smaller than the sum of its proper divisors (201271734).

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

112101066 is a wasteful number, since it uses less digits than its factorization.

112101066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2841 counting only the distinct ones).

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

The square root of 112101066 is about 10587.7790872307. The cubic root of 112101066 is about 482.1733993868.

Adding to 112101066 its reverse (660101211), we get a palindrome (772202277).

The spelling of 112101066 in words is "one hundred twelve million, one hundred one thousand, sixty-six".