10003645300 has 144 divisors (see below), whose sum is σ = 24831660672. Its totient is φ = 3462553600.

The previous prime is 10003645283. The next prime is 10003645319. The reversal of 10003645300 is 354630001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5894052 + ... + 5895748.

It is an arithmetic number, because the mean of its divisors is an integer number (172442088).

Almost surely, 2^10003645300 is an apocalyptic number.

10003645300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003645300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12415830336).

10003645300 is an abundant number, since it is smaller than the sum of its proper divisors (14828015372).

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

10003645300 is a wasteful number, since it uses less digits than its factorization.

10003645300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 10003645300 in words is "ten billion, three million, six hundred forty-five thousand, three hundred".