100284048 has 80 divisors (see below), whose sum is σ = 300397440. Its totient is φ = 31971456.

The previous prime is 100284031. The next prime is 100284049. The reversal of 100284048 is 840482001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100284049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4890 + ... + 14982.

It is an arithmetic number, because the mean of its divisors is an integer number (3754968).

Almost surely, 2^100284048 is an apocalyptic number.

100284048 is a gapful number since it is divisible by the number (18) 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 100284048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150198720).

100284048 is an abundant number, since it is smaller than the sum of its proper divisors (200113392).

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

100284048 is a wasteful number, since it uses less digits than its factorization.

100284048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 100284048 is about 10014.1923288900. The cubic root of 100284048 is about 464.5979459155.

The spelling of 100284048 in words is "one hundred million, two hundred eighty-four thousand, forty-eight".