206105400 has 144 divisors (see below), whose sum is σ = 702912600. Its totient is φ = 54109440.

The previous prime is 206105381. The next prime is 206105411. The reversal of 206105400 is 4501602.

It is a happy number.

206105400 is a `hidden beast` number, since 2 + 0 + 610 + 54 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119746 + ... + 121454.

Almost surely, 2^206105400 is an apocalyptic number.

206105400 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 206105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351456300).

206105400 is an abundant number, since it is smaller than the sum of its proper divisors (496807200).

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

206105400 is a wasteful number, since it uses less digits than its factorization.

206105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 206105400 is about 14356.3714078454. The cubic root of 206105400 is about 590.6947671007.

The spelling of 206105400 in words is "two hundred six million, one hundred five thousand, four hundred".