103228299174336 has 1344 divisors, whose sum is σ = 352645930549248. Its totient is φ = 26057687040000.

The previous prime is 103228299174323. The next prime is 103228299174347. The reversal of 103228299174336 is 633471992822301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 103228299174336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104165790801 + ... + 104165791791.

It is an arithmetic number, because the mean of its divisors is an integer number (262385364992).

Almost surely, 2^{103228299174336} is an apocalyptic number.

103228299174336 is a gapful number since it is divisible by the number (16) 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 103228299174336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176322965274624).

103228299174336 is an abundant number, since it is smaller than the sum of its proper divisors (249417631374912).

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

103228299174336 is a wasteful number, since it uses less digits than its factorization.

103228299174336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 103228299174336 in words is "one hundred three trillion, two hundred twenty-eight billion, two hundred ninety-nine million, one hundred seventy-four thousand, three hundred thirty-six".