10272100 has 36 divisors (see below), whose sum is σ = 22481200. Its totient is φ = 4073760.

The previous prime is 10272083. The next prime is 10272127. The reversal of 10272100 is 127201.

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 11 ways as a sum of consecutive naturals, for example, 13531 + ... + 14269.

Almost surely, 2^10272100 is an apocalyptic number.

10272100 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 10272100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11240600).

10272100 is an abundant number, since it is smaller than the sum of its proper divisors (12209100).

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

10272100 is a wasteful number, since it uses less digits than its factorization.

10272100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10272100 is about 3205.0117004467. The cubic root of 10272100 is about 217.3800809858.

Adding to 10272100 its reverse (127201), we get a palindrome (10399301).

The spelling of 10272100 in words is "ten million, two hundred seventy-two thousand, one hundred".