100313100 has 144 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 26208000.

The previous prime is 100313093. The next prime is 100313113. The reversal of 100313100 is 1313001.

It is a super-2 number, since 2×100313100² = 20125436063220000, which contains 22 as substring.

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

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, 142750 + ... + 143450.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^100313100 is an apocalyptic number.

100313100 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 100313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

100313100 is an abundant number, since it is smaller than the sum of its proper divisors (228728340).

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

100313100 is a wasteful number, since it uses less digits than its factorization.

100313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 764 counting only the distinct ones).

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

The square root of 100313100 is about 10015.6427651949. The cubic root of 100313100 is about 464.6428058130.

Adding to 100313100 its reverse (1313001), we get a palindrome (101626101).

Subtracting from 100313100 its reverse (1313001), we obtain a palindrome (99000099).

It can be divided in two parts, 10031 and 3100, that added together give a palindrome (13131).

The spelling of 100313100 in words is "one hundred million, three hundred thirteen thousand, one hundred".