10024100 has 36 divisors (see below), whose sum is σ = 22134000. Its totient is φ = 3939360.

The previous prime is 10024097. The next prime is 10024103. The reversal of 10024100 is 142001.

It is an interprime number because it is at equal distance from previous prime (10024097) and next prime (10024103).

It is not an unprimeable number, because it can be changed into a prime (10024103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5051 + ... + 6749.

Almost surely, 2^10024100 is an apocalyptic number.

10024100 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 10024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067000).

10024100 is an abundant number, since it is smaller than the sum of its proper divisors (12109900).

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

10024100 is a wasteful number, since it uses less digits than its factorization.

10024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10024100 is about 3166.0859116581. The cubic root of 10024100 is about 215.6164030739.

Adding to 10024100 its reverse (142001), we get a palindrome (10166101).

The spelling of 10024100 in words is "ten million, twenty-four thousand, one hundred".