100384848 has 120 divisors (see below), whose sum is σ = 293293728. Its totient is φ = 32023296.

The previous prime is 100384831. The next prime is 100384849. The reversal of 100384848 is 848483001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100384849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442111 + ... + 442337.

Almost surely, 2^100384848 is an apocalyptic number.

100384848 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 100384848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146646864).

100384848 is an abundant number, since it is smaller than the sum of its proper divisors (192908880).

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

100384848 is a wasteful number, since it uses less digits than its factorization.

100384848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 100384848 is about 10019.2239220411. The cubic root of 100384848 is about 464.7535565430.

The spelling of 100384848 in words is "one hundred million, three hundred eighty-four thousand, eight hundred forty-eight".