10030521600 has 540 divisors, whose sum is σ = 40481992320. Its totient is φ = 2430259200.

The previous prime is 10030521593. The next prime is 10030521637. The reversal of 10030521600 is 612503001.

10030521600 is a `hidden beast` number, since 10 + 0 + 3 + 0 + 52 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×10030521600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5701521 + ... + 5703279.

Almost surely, 2^10030521600 is an apocalyptic number.

10030521600 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 10030521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20240996160).

10030521600 is an abundant number, since it is smaller than the sum of its proper divisors (30451470720).

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

10030521600 is a wasteful number, since it uses less digits than its factorization.

10030521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 10030521600 in words is "ten billion, thirty million, five hundred twenty-one thousand, six hundred".