10038036100 has 81 divisors (see below), whose sum is σ = 22397012463. Its totient is φ = 3905005440.

The previous prime is 10038036079. The next prime is 10038036163. The reversal of 10038036100 is 163083001.

The square root of 10038036100 is 100190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1976869444 + 8061166656 = 44462^2 + 89784^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43081584 + ... + 43081816.

Almost surely, 2^10038036100 is an apocalyptic number.

10038036100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10038036100 is the 100190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10038036100

10038036100 is an abundant number, since it is smaller than the sum of its proper divisors (12358976363).

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

10038036100 is an equidigital number, since it uses as much as digits as its factorization.

10038036100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 10038036100 in words is "ten billion, thirty-eight million, thirty-six thousand, one hundred".