100313088 has 96 divisors (see below), whose sum is σ = 277149600. Its totient is φ = 32227328.

The previous prime is 100313071. The next prime is 100313093. The reversal of 100313088 is 880313001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

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 7 ways as a sum of consecutive naturals, for example, 177895 + ... + 178457.

It is an arithmetic number, because the mean of its divisors is an integer number (2886975).

Almost surely, 2^100313088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138574800).

100313088 is an abundant number, since it is smaller than the sum of its proper divisors (176836512).

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

100313088 is an equidigital number, since it uses as much as digits as its factorization.

100313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 100313088 is about 10015.6421661319. The cubic root of 100313088 is about 464.6427872853.

Adding to 100313088 its reverse (880313001), we get a palindrome (980626089).

The spelling of 100313088 in words is "one hundred million, three hundred thirteen thousand, eighty-eight".