100138100 has 18 divisors (see below), whose sum is σ = 217299894. Its totient is φ = 40055200.

The previous prime is 100138097. The next prime is 100138123. The reversal of 100138100 is 1831001.

It can be written as a sum of positive squares in 3 ways, for example, as 258064 + 99880036 = 508^2 + 9994^2 .

It is a super-2 number, since 2×100138100² = 20055278143220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500591 + ... + 500790.

Almost surely, 2^100138100 is an apocalyptic number.

100138100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100138100 is an abundant number, since it is smaller than the sum of its proper divisors (117161794).

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

100138100 is a wasteful number, since it uses less digits than its factorization.

100138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001395 (or 1001388 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 100138100 is about 10006.9026176934. The cubic root of 100138100 is about 464.3724528842.

Adding to 100138100 its reverse (1831001), we get a palindrome (101969101).

The spelling of 100138100 in words is "one hundred million, one hundred thirty-eight thousand, one hundred".