100038500 has 48 divisors (see below), whose sum is σ = 228009600. Its totient is φ = 38271200.

The previous prime is 100038481. The next prime is 100038509. The reversal of 100038500 is 5830001.

It is not an unprimeable number, because it can be changed into a prime (100038509) by changing a digit.

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, 7151 + ... + 15849.

It is an arithmetic number, because the mean of its divisors is an integer number (4750200).

Almost surely, 2^100038500 is an apocalyptic number.

100038500 is a gapful number since it is divisible by the number (10) 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 100038500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114004800).

100038500 is an abundant number, since it is smaller than the sum of its proper divisors (127971100).

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

100038500 is a wasteful number, since it uses less digits than its factorization.

100038500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 100038500 is about 10001.9248147544. The cubic root of 100038500 is about 464.2184427752.

Adding to 100038500 its reverse (5830001), we get a palindrome (105868501).

The spelling of 100038500 in words is "one hundred million, thirty-eight thousand, five hundred".