10000105500 has 576 divisors, whose sum is σ = 38816354304. Its totient is φ = 1951488000.

The previous prime is 10000105481. The next prime is 10000105523. The reversal of 10000105500 is 550100001.

It is a super-2 number, since 2×10000105500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21598269 + ... + 21598731.

It is an arithmetic number, because the mean of its divisors is an integer number (67389504).

Almost surely, 2^10000105500 is an apocalyptic number.

10000105500 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 10000105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408177152).

10000105500 is an abundant number, since it is smaller than the sum of its proper divisors (28816248804).

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

10000105500 is a wasteful number, since it uses less digits than its factorization.

10000105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

Adding to 10000105500 its reverse (550100001), we get a palindrome (10550205501).

The spelling of 10000105500 in words is "ten billion, one hundred five thousand, five hundred".