100538284 has 48 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 39029760.

The previous prime is 100538279. The next prime is 100538293. The reversal of 100538284 is 482835001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137929 + ... + 138655.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^100538284 is an apocalyptic number.

100538284 is a gapful number since it is divisible by the number (14) 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 100538284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

100538284 is an abundant number, since it is smaller than the sum of its proper divisors (119608916).

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

100538284 is a wasteful number, since it uses less digits than its factorization.

100538284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 100538284 is about 10026.8780784450. The cubic root of 100538284 is about 464.9902244833.

The spelling of 100538284 in words is "one hundred million, five hundred thirty-eight thousand, two hundred eighty-four".