1038500100 has 216 divisors, whose sum is σ = 3738614880. Its totient is φ = 238464000.

The previous prime is 1038500027. The next prime is 1038500107. The reversal of 1038500100 is 10058301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1038500107) 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 71 ways as a sum of consecutive naturals, for example, 185340 + ... + 190860.

Almost surely, 2^1038500100 is an apocalyptic number.

1038500100 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 1038500100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869307440).

1038500100 is an abundant number, since it is smaller than the sum of its proper divisors (2700114780).

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

1038500100 is a wasteful number, since it uses less digits than its factorization.

1038500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1038500100 is about 32225.7676401975. The cubic root of 1038500100 is about 1012.6721060887.

Adding to 1038500100 its reverse (10058301), we get a palindrome (1048558401).

The spelling of 1038500100 in words is "one billion, thirty-eight million, five hundred thousand, one hundred".