10245510400 has 54 divisors (see below), whose sum is σ = 25359254942. Its totient is φ = 4098201600.

The previous prime is 10245510337. The next prime is 10245510403. The reversal of 10245510400 is 401554201.

It can be written as a sum of positive squares in 3 ways, for example, as 831744 + 10244678656 = 912^2 + 101216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10245510403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 794031 + ... + 806830.

Almost surely, 2^10245510400 is an apocalyptic number.

10245510400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10245510400 is an abundant number, since it is smaller than the sum of its proper divisors (15113744542).

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

10245510400 is an equidigital number, since it uses as much as digits as its factorization.

10245510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600887 (or 1600868 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 10245510400 in words is "ten billion, two hundred forty-five million, five hundred ten thousand, four hundred".