100511320 has 128 divisors (see below), whose sum is σ = 284135040. Its totient is φ = 31150080.

The previous prime is 100511251. The next prime is 100511321. The reversal of 100511320 is 23115001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100511320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100511321) 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 31 ways as a sum of consecutive naturals, for example, 192660 + ... + 193180.

It is an arithmetic number, because the mean of its divisors is an integer number (2219805).

Almost surely, 2^100511320 is an apocalyptic number.

100511320 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 100511320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142067520).

100511320 is an abundant number, since it is smaller than the sum of its proper divisors (183623720).

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

100511320 is a wasteful number, since it uses less digits than its factorization.

100511320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 100511320 is about 10025.5334022684. The cubic root of 100511320 is about 464.9486512074.

Adding to 100511320 its reverse (23115001), we get a palindrome (123626321).

The spelling of 100511320 in words is "one hundred million, five hundred eleven thousand, three hundred twenty".