10208100 has 72 divisors (see below), whose sum is σ = 33761728. Its totient is φ = 2332800.

The previous prime is 10208069. The next prime is 10208117. The reversal of 10208100 is 180201.

It is a happy number.

10208100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10208100² = 208410611220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331 + ... + 4530.

Almost surely, 2^10208100 is an apocalyptic number.

10208100 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 10208100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16880864).

10208100 is an abundant number, since it is smaller than the sum of its proper divisors (23553628).

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

10208100 is a wasteful number, since it uses less digits than its factorization.

10208100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10208100 is about 3195.0117370676. The cubic root of 10208100 is about 216.9276801769.

Adding to 10208100 its reverse (180201), we get a palindrome (10388301).

The spelling of 10208100 in words is "ten million, two hundred eight thousand, one hundred".