100287852 has 96 divisors (see below), whose sum is σ = 290734080. Its totient is φ = 26256960.

The previous prime is 100287851. The next prime is 100287853. The reversal of 100287852 is 258782001.

It is an interprime number because it is at equal distance from previous prime (100287851) and next prime (100287853).

It is not an unprimeable number, because it can be changed into a prime (100287851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48463 + ... + 50489.

It is an arithmetic number, because the mean of its divisors is an integer number (3028480).

Almost surely, 2^100287852 is an apocalyptic number.

100287852 is a gapful number since it is divisible by the number (12) 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 100287852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145367040).

100287852 is an abundant number, since it is smaller than the sum of its proper divisors (190446228).

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

100287852 is a wasteful number, since it uses less digits than its factorization.

100287852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 100287852 is about 10014.3822575334. The cubic root of 100287852 is about 464.6038202570.

The spelling of 100287852 in words is "one hundred million, two hundred eighty-seven thousand, eight hundred fifty-two".