10045700400 has 120 divisors (see below), whose sum is σ = 32276515024. Its totient is φ = 2670796800.

The previous prime is 10045700389. The next prime is 10045700407. The reversal of 10045700400 is 400754001.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (10045700407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391980 + ... + 416820.

Almost surely, 2^10045700400 is an apocalyptic number.

10045700400 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 10045700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16138257512).

10045700400 is an abundant number, since it is smaller than the sum of its proper divisors (22230814624).

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

10045700400 is a wasteful number, since it uses less digits than its factorization.

10045700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25199 (or 25188 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The spelling of 10045700400 in words is "ten billion, forty-five million, seven hundred thousand, four hundred".