100513792 has 48 divisors (see below), whose sum is σ = 212874480. Its totient is φ = 47284224.

The previous prime is 100513789. The next prime is 100513799. The reversal of 100513792 is 297315001.

It is a self number, because there is not a number n which added to its sum of digits gives 100513792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100513799) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 33373 + ... + 36259.

It is an arithmetic number, because the mean of its divisors is an integer number (4434885).

Almost surely, 2^100513792 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 100513792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106437240).

100513792 is an abundant number, since it is smaller than the sum of its proper divisors (112360688).

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

100513792 is an equidigital number, since it uses as much as digits as its factorization.

100513792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 100513792 is about 10025.6566867213. The cubic root of 100513792 is about 464.9524628631.

Adding to 100513792 its reverse (297315001), we get a palindrome (397828793).

The spelling of 100513792 in words is "one hundred million, five hundred thirteen thousand, seven hundred ninety-two".