206707400100 has 54 divisors (see below), whose sum is σ = 647912864690. Its totient is φ = 55121973120.

The previous prime is 206707400089. The next prime is 206707400101. The reversal of 206707400100 is 1004707602.

It can be written as a sum of positive squares in 3 ways, for example, as 27590538816 + 179116861284 = 166104^2 + 423222^2 .

It is a super-2 number, since 2×206707400100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206707400101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114836545 + ... + 114838344.

Almost surely, 2^206707400100 is an apocalyptic number.

206707400100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206707400100 is an abundant number, since it is smaller than the sum of its proper divisors (441205464590).

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

206707400100 is a wasteful number, since it uses less digits than its factorization.

206707400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229674909 (or 229674899 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 206707400100 in words is "two hundred six billion, seven hundred seven million, four hundred thousand, one hundred".