112102000 has 80 divisors (see below), whose sum is σ = 282964032. Its totient is φ = 42873600.

The previous prime is 112101991. The next prime is 112102009. The reversal of 112102000 is 201211.

It is an interprime number because it is at equal distance from previous prime (112101991) and next prime (112102009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44782 + ... + 47218.

Almost surely, 2^112102000 is an apocalyptic number.

112102000 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 112102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141482016).

112102000 is an abundant number, since it is smaller than the sum of its proper divisors (170862032).

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

112102000 is a wasteful number, since it uses less digits than its factorization.

112102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 112102000 is about 10587.8231945948. The cubic root of 112102000 is about 482.1747385019.

Adding to 112102000 its reverse (201211), we get a palindrome (112303211).

The spelling of 112102000 in words is "one hundred twelve million, one hundred two thousand".