100011300 has 144 divisors (see below), whose sum is σ = 304480512. Its totient is φ = 25318400.

The previous prime is 100011287. The next prime is 100011349. The reversal of 100011300 is 3110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 578014 + ... + 578186.

It is an arithmetic number, because the mean of its divisors is an integer number (2114448).

Almost surely, 2^100011300 is an apocalyptic number.

100011300 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 100011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152240256).

100011300 is an abundant number, since it is smaller than the sum of its proper divisors (204469212).

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

100011300 is a wasteful number, since it uses less digits than its factorization.

100011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 100011300 is about 10000.5649840397. The cubic root of 100011300 is about 464.1763660207.

Adding to 100011300 its reverse (3110001), we get a palindrome (103121301).

The spelling of 100011300 in words is "one hundred million, eleven thousand, three hundred".