10052100 has 180 divisors, whose sum is σ = 34974324. Its totient is φ = 2488320.

The previous prime is 10052071. The next prime is 10052191. The reversal of 10052100 is 125001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15876 + 10036224 = 126^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137664 + ... + 137736.

Almost surely, 2^10052100 is an apocalyptic number.

10052100 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 10052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487162).

10052100 is an abundant number, since it is smaller than the sum of its proper divisors (24922224).

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

10052100 is a wasteful number, since it uses less digits than its factorization.

10052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

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

The square root of 10052100 is about 3170.5046916855. The cubic root of 10052100 is about 215.8169745887.

Adding to 10052100 its reverse (125001), we get a palindrome (10177101).

The spelling of 10052100 in words is "ten million, fifty-two thousand, one hundred".