1152100 has 36 divisors (see below), whose sum is σ = 2570148. Its totient is φ = 448000.

The previous prime is 1152091. The next prime is 1152113. The reversal of 1152100 is 12511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 123904 + 1028196 = 352^2 + 1014^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3960 + ... + 4240.

It is an arithmetic number, because the mean of its divisors is an integer number (71393).

2^1152100 is an apocalyptic number.

1152100 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 1152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285074).

1152100 is an abundant number, since it is smaller than the sum of its proper divisors (1418048).

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

1152100 is a wasteful number, since it uses less digits than its factorization.

1152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

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

The square root of 1152100 is about 1073.3592129385. The cubic root of 1152100 is about 104.8326889461.

Adding to 1152100 its reverse (12511), we get a palindrome (1164611).

The spelling of 1152100 in words is "one million, one hundred fifty-two thousand, one hundred".