10030600400 has 30 divisors (see below), whose sum is σ = 24098518422. Its totient is φ = 4012240000.

The previous prime is 10030600397. The next prime is 10030600487. The reversal of 10030600400 is 400603001.

10030600400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 73753744 + 9956846656 = 8588^2 + 99784^2 .

It is a super-3 number, since 3×10030600400³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12537851 + ... + 12538650.

Almost surely, 2^10030600400 is an apocalyptic number.

10030600400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10030600400 is an abundant number, since it is smaller than the sum of its proper divisors (14067918022).

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

10030600400 is a wasteful number, since it uses less digits than its factorization.

10030600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25076519 (or 25076508 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The spelling of 10030600400 in words is "ten billion, thirty million, six hundred thousand, four hundred".