206072100 has 360 divisors, whose sum is σ = 764603840. Its totient is φ = 47589120.

The previous prime is 206072063. The next prime is 206072107. The reversal of 206072100 is 1270602.

It is a happy number.

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 (206072107) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2000649 + ... + 2000751.

Almost surely, 2^206072100 is an apocalyptic number.

206072100 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 206072100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382301920).

206072100 is an abundant number, since it is smaller than the sum of its proper divisors (558531740).

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

206072100 is a wasteful number, since it uses less digits than its factorization.

206072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 206072100 is about 14355.2115971866. The cubic root of 206072100 is about 590.6629529655.

The spelling of 206072100 in words is "two hundred six million, seventy-two thousand, one hundred".