10008442600 has 48 divisors (see below), whose sum is σ = 25059607020. Its totient is φ = 3695424000.

The previous prime is 10008442553. The next prime is 10008442607. The reversal of 10008442600 is 624480001.

It can be written as a sum of positive squares in 6 ways, for example, as 712783204 + 9295659396 = 26698^2 + 96414^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10008442607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1922101 + ... + 1927300.

Almost surely, 2^10008442600 is an apocalyptic number.

10008442600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10008442600 is an abundant number, since it is smaller than the sum of its proper divisors (15051164420).

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

10008442600 is a wasteful number, since it uses less digits than its factorization.

10008442600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849430 (or 3849421 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 10008442600 in words is "ten billion, eight million, four hundred forty-two thousand, six hundred".