205958100 has 144 divisors (see below), whose sum is σ = 654958080. Its totient is φ = 49737600.

The previous prime is 205958041. The next prime is 205958101. The reversal of 205958100 is 1859502.

205958100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205958100² = 84837477911220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205958101) 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, 130315 + ... + 131885.

It is an arithmetic number, because the mean of its divisors is an integer number (4548320).

Almost surely, 2^205958100 is an apocalyptic number.

205958100 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 205958100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327479040).

205958100 is an abundant number, since it is smaller than the sum of its proper divisors (448999980).

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

205958100 is a wasteful number, since it uses less digits than its factorization.

205958100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 205958100 is about 14351.2403645121. The cubic root of 205958100 is about 590.5540137524.

The spelling of 205958100 in words is "two hundred five million, nine hundred fifty-eight thousand, one hundred".