103225108224 has 144 divisors (see below), whose sum is σ = 314121265920. Its totient is φ = 29479280640.

The previous prime is 103225108171. The next prime is 103225108289. The reversal of 103225108224 is 422801522301.

It is a junction number, because it is equal to n+sod(n) for n = 103225108191 and 103225108200.

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 15 ways as a sum of consecutive naturals, for example, 20313364 + ... + 20318444.

It is an arithmetic number, because the mean of its divisors is an integer number (2181397680).

Almost surely, 2^103225108224 is an apocalyptic number.

103225108224 is a gapful number since it is divisible by the number (14) 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 103225108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157060632960).

103225108224 is an abundant number, since it is smaller than the sum of its proper divisors (210896157696).

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

103225108224 is an equidigital number, since it uses as much as digits as its factorization.

103225108224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 103225108224 in words is "one hundred three billion, two hundred twenty-five million, one hundred eight thousand, two hundred twenty-four".