10025100 has 144 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 2583360.

The previous prime is 10025083. The next prime is 10025101. The reversal of 10025100 is 152001.

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 (10025101) 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 47 ways as a sum of consecutive naturals, for example, 126861 + ... + 126939.

Almost surely, 2^10025100 is an apocalyptic number.

10025100 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 10025100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

10025100 is an abundant number, since it is smaller than the sum of its proper divisors (23306100).

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

10025100 is a wasteful number, since it uses less digits than its factorization.

10025100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

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

The square root of 10025100 is about 3166.2438314192. The cubic root of 10025100 is about 215.6235727694.

Adding to 10025100 its reverse (152001), we get a palindrome (10177101).

It can be divided in two parts, 100 and 25100, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 10025100 in words is "ten million, twenty-five thousand, one hundred".