20106180 has 72 divisors (see below), whose sum is σ = 64209600. Its totient is φ = 5078592.

The previous prime is 20106173. The next prime is 20106187. The reversal of 20106180 is 8160102.

It is an interprime number because it is at equal distance from previous prime (20106173) and next prime (20106187).

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

It is not an unprimeable number, because it can be changed into a prime (20106187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481 + ... + 6359.

It is an arithmetic number, because the mean of its divisors is an integer number (891800).

Almost surely, 2^20106180 is an apocalyptic number.

20106180 is a gapful number since it is divisible by the number (20) 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 20106180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32104800).

20106180 is an abundant number, since it is smaller than the sum of its proper divisors (44103420).

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

20106180 is a wasteful number, since it uses less digits than its factorization.

20106180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 20106180 is about 4483.9915254157. The cubic root of 20106180 is about 271.9212755158.

Adding to 20106180 its reverse (8160102), we get a palindrome (28266282).

The spelling of 20106180 in words is "twenty million, one hundred six thousand, one hundred eighty".