20106000 has 120 divisors (see below), whose sum is σ = 70286424. Its totient is φ = 5356800.

The previous prime is 20105999. The next prime is 20106001. The reversal of 20106000 is 60102.

It is an interprime number because it is at equal distance from previous prime (20105999) and next prime (20106001).

It can be written as a sum of positive squares in 4 ways, for example, as 4613904 + 15492096 = 2148^2 + 3936^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (20106001) 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, 17442 + ... + 18558.

Almost surely, 2^20106000 is an apocalyptic number.

20106000 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 20106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35143212).

20106000 is an abundant number, since it is smaller than the sum of its proper divisors (50180424).

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

20106000 is a wasteful number, since it uses less digits than its factorization.

20106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20106000 is about 4483.9714539680. The cubic root of 20106000 is about 271.9204640576.

Adding to 20106000 its reverse (60102), we get a palindrome (20166102).

The spelling of 20106000 in words is "twenty million, one hundred six thousand".