103835252224 has 80 divisors (see below), whose sum is σ = 227515723776. Its totient is φ = 46950246400.

The previous prime is 103835252167. The next prime is 103835252233. The reversal of 103835252224 is 422252538301.

It is a congruent number.

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, 1027449 + ... + 1123975.

Almost surely, 2^103835252224 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 103835252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113757861888).

103835252224 is an abundant number, since it is smaller than the sum of its proper divisors (123680471552).

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

103835252224 is an equidigital number, since it uses as much as digits as its factorization.

103835252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96747 (or 96731 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 103835252224 in words is "one hundred three billion, eight hundred thirty-five million, two hundred fifty-two thousand, two hundred twenty-four".