10005528100 has 72 divisors (see below), whose sum is σ = 22273727168. Its totient is φ = 3899145600.

The previous prime is 10005528089. The next prime is 10005528107. The reversal of 10005528100 is 182550001.

It is a super-2 number, since 2×10005528100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005528107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1807537 + ... + 1813063.

Almost surely, 2^10005528100 is an apocalyptic number.

10005528100 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 10005528100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136863584).

10005528100 is an abundant number, since it is smaller than the sum of its proper divisors (12268199068).

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

10005528100 is a wasteful number, since it uses less digits than its factorization.

10005528100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The spelling of 10005528100 in words is "ten billion, five million, five hundred twenty-eight thousand, one hundred".