10036032400 has 45 divisors (see below), whose sum is σ = 24116382451. Its totient is φ = 4013611520.

The previous prime is 10036032371. The next prime is 10036032463. The reversal of 10036032400 is 423063001.

The square root of 10036032400 is 100180.

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 287234704 + 9748797696 = 16948^2 + 98736^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2001096 + ... + 2006104.

Almost surely, 2^10036032400 is an apocalyptic number.

10036032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10036032400 is the 100180-th square number.

It is an amenable number.

10036032400 is an abundant number, since it is smaller than the sum of its proper divisors (14080350051).

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

10036032400 is an frugal number, since it uses more digits than its factorization.

10036032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10036032400 its reverse (423063001), we get a palindrome (10459095401).

The spelling of 10036032400 in words is "ten billion, thirty-six million, thirty-two thousand, four hundred".