112102020 has 72 divisors (see below), whose sum is σ = 341129880. Its totient is φ = 29798400.

The previous prime is 112102019. The next prime is 112102037. The reversal of 112102020 is 20201211.

It can be written as a sum of positive squares in 4 ways, for example, as 30669444 + 81432576 = 5538^2 + 9024^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112101993 and 112102011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69220 + ... + 70820.

It is an arithmetic number, because the mean of its divisors is an integer number (4737915).

Almost surely, 2^112102020 is an apocalyptic number.

112102020 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 112102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170564940).

112102020 is an abundant number, since it is smaller than the sum of its proper divisors (229027860).

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

112102020 is a wasteful number, since it uses less digits than its factorization.

112102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112102020 is about 10587.8241390760. The cubic root of 112102020 is about 482.1747671767.

Adding to 112102020 its reverse (20201211), we get a palindrome (132303231).

The spelling of 112102020 in words is "one hundred twelve million, one hundred two thousand, twenty".