1052100 has 108 divisors (see below), whose sum is σ = 3791424. Its totient is φ = 239040.

The previous prime is 1052099. The next prime is 1052111. The reversal of 1052100 is 12501.

It is a happy number.

It is a super-2 number, since 2×1052100² = 2213828820000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6217 + ... + 6383.

2^1052100 is an apocalyptic number.

1052100 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 1052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895712).

1052100 is an abundant number, since it is smaller than the sum of its proper divisors (2739324).

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

1052100 is a wasteful number, since it uses less digits than its factorization.

1052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

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

The square root of 1052100 is about 1025.7192598367. The cubic root of 1052100 is about 101.7073503156.

Adding to 1052100 its reverse (12501), we get a palindrome (1064601).

The spelling of 1052100 in words is "one million, fifty-two thousand, one hundred".