100300003100 has 144 divisors (see below), whose sum is σ = 251254918656. Its totient is φ = 34394976000.

The previous prime is 100300003087. The next prime is 100300003157. The reversal of 100300003100 is 1300003001.

It is a super-2 number, since 2×100300003100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768382 + ... + 1824218.

It is an arithmetic number, because the mean of its divisors is an integer number (1744825824).

Almost surely, 2^100300003100 is an apocalyptic number.

100300003100 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 100300003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125627459328).

100300003100 is an abundant number, since it is smaller than the sum of its proper divisors (150954915556).

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

100300003100 is a wasteful number, since it uses less digits than its factorization.

100300003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55956 (or 55949 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 100300003100 its reverse (1300003001), we get a palindrome (101600006101).

Subtracting from 100300003100 its reverse (1300003001), we obtain a palindrome (99000000099).

The spelling of 100300003100 in words is "one hundred billion, three hundred million, three thousand, one hundred".