100285248 has 224 divisors, whose sum is σ = 327720960. Its totient is φ = 26449920.

The previous prime is 100285243. The next prime is 100285259. The reversal of 100285248 is 842582001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100285243) 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, 1208215 + ... + 1208297.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 2^100285248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

100285248 is an abundant number, since it is smaller than the sum of its proper divisors (227435712).

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

100285248 is a wasteful number, since it uses less digits than its factorization.

100285248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 100285248 is about 10014.2522436775. The cubic root of 100285248 is about 464.5997990361.

The spelling of 100285248 in words is "one hundred million, two hundred eighty-five thousand, two hundred forty-eight".