20106900 has 144 divisors (see below), whose sum is σ = 70620480. Its totient is φ = 4867200.

The previous prime is 20106893. The next prime is 20106907. The reversal of 20106900 is 960102.

It is an interprime number because it is at equal distance from previous prime (20106893) and next prime (20106907).

It is a super-2 number, since 2×20106900² = 808574855220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20106907) 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, 29362 + ... + 30038.

It is an arithmetic number, because the mean of its divisors is an integer number (490420).

Almost surely, 2^20106900 is an apocalyptic number.

20106900 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 20106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35310240).

20106900 is an abundant number, since it is smaller than the sum of its proper divisors (50513580).

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

20106900 is a wasteful number, since it uses less digits than its factorization.

20106900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20106900 is about 4484.0718103081. The cubic root of 20106900 is about 271.9245213003.

The spelling of 20106900 in words is "twenty million, one hundred six thousand, nine hundred".