100005111000 has 320 divisors, whose sum is σ = 351714242880. Its totient is φ = 26504755200.

The previous prime is 100005110981. The next prime is 100005111001. The reversal of 100005111000 is 111500001.

It is a super-2 number, since 2×100005111000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005111001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 13523304 + ... + 13530696.

It is an arithmetic number, because the mean of its divisors is an integer number (1099107009).

Almost surely, 2^100005111000 is an apocalyptic number.

100005111000 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 100005111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175857121440).

100005111000 is an abundant number, since it is smaller than the sum of its proper divisors (251709131880).

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

100005111000 is a wasteful number, since it uses less digits than its factorization.

100005111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7593 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 100005111000 its reverse (111500001), we get a palindrome (100116611001).

The spelling of 100005111000 in words is "one hundred billion, five million, one hundred eleven thousand".