10824100 has 81 divisors (see below), whose sum is σ = 27916833. Its totient is φ = 3632160.

The previous prime is 10824097. The next prime is 10824101. The reversal of 10824100 is 142801.

It is a happy number.

The square root of 10824100 is 3290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3896676 + 6927424 = 1974^2 + 2632^2 .

It is a super-2 number, since 2×10824100² = 234322281620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10824101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 230277 + ... + 230323.

Almost surely, 2^10824100 is an apocalyptic number.

10824100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10824100 is the 3290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10824100

10824100 is an abundant number, since it is smaller than the sum of its proper divisors (17092733).

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

10824100 is a wasteful number, since it uses less digits than its factorization.

10824100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The cubic root of 10824100 is about 221.2061847333.

Multiplying 10824100 by its sum of digits (16), we get a square (173185600 = 13160²).

Multiplying 10824100 by its product of nonzero digits (64), we get a square (692742400 = 26320²).

Adding to 10824100 its reverse (142801), we get a palindrome (10966901).

The spelling of 10824100 in words is "ten million, eight hundred twenty-four thousand, one hundred".