100338500 has 48 divisors (see below), whose sum is σ = 222222000. Its totient is φ = 39571200.

The previous prime is 100338461. The next prime is 100338517. The reversal of 100338500 is 5833001.

It can be written as a sum of positive squares in 8 ways, for example, as 50438404 + 49900096 = 7102^2 + 7064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35126 + ... + 37874.

It is an arithmetic number, because the mean of its divisors is an integer number (4629625).

Almost surely, 2^100338500 is an apocalyptic number.

100338500 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 100338500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111111000).

100338500 is an abundant number, since it is smaller than the sum of its proper divisors (121883500).

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

100338500 is a wasteful number, since it uses less digits than its factorization.

100338500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 100338500 is about 10016.9107014089. The cubic root of 100338500 is about 464.6820194727.

The spelling of 100338500 in words is "one hundred million, three hundred thirty-eight thousand, five hundred".