10205100 has 216 divisors, whose sum is σ = 36560160. Its totient is φ = 2365440.

The previous prime is 10205093. The next prime is 10205101. The reversal of 10205100 is 150201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10205101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351886 + ... + 351914.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

It is a vampire number, since it can be written as 2001 ⋅ 5100 (with its own digits).

Almost surely, 2^10205100 is an apocalyptic number.

10205100 is a gapful number since it is divisible by the number (10) 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 10205100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

10205100 is an abundant number, since it is smaller than the sum of its proper divisors (26355060).

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

10205100 is a wasteful number, since it uses less digits than its factorization.

10205100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10205100 is about 3194.5422207258. The cubic root of 10205100 is about 216.9064275506.

Adding to 10205100 its reverse (150201), we get a palindrome (10355301).

The spelling of 10205100 in words is "ten million, two hundred five thousand, one hundred".