10206744400 has 30 divisors (see below), whose sum is σ = 24521704382. Its totient is φ = 4082697600.

The previous prime is 10206744347. The next prime is 10206744439. The reversal of 10206744400 is 444760201.

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 10206656784 = 296^2 + 101028^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12758031 + ... + 12758830.

Almost surely, 2^10206744400 is an apocalyptic number.

10206744400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10206744400 is an abundant number, since it is smaller than the sum of its proper divisors (14314959982).

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

10206744400 is a wasteful number, since it uses less digits than its factorization.

10206744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25516879 (or 25516868 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

It can be divided in two parts, 10206 and 744400, that added together give a triangular number (754606 = T₁₂₂₈).

The spelling of 10206744400 in words is "ten billion, two hundred six million, seven hundred forty-four thousand, four hundred".