103899228713280 has 3024 divisors, whose sum is σ = 500226091262352. Its totient is φ = 19599468134400.

The previous prime is 103899228713261. The next prime is 103899228713317. The reversal of 103899228713280 is 82317822998301.

103899228713280 is a `hidden beast` number, since 1 + 0 + 3 + 89 + 9 + 228 + 7 + 1 + 328 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23964471203904 + 79934757509376 = 4895352^2 + 8940624^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13540883524 + ... + 13540891196.

It is an arithmetic number, because the mean of its divisors is an integer number (165418680973).

Almost surely, 2^{103899228713280} is an apocalyptic number.

103899228713280 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 103899228713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250113045631176).

103899228713280 is an abundant number, since it is smaller than the sum of its proper divisors (396326862549072).

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

103899228713280 is a wasteful number, since it uses less digits than its factorization.

103899228713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7806 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 103899228713280 in words is "one hundred three trillion, eight hundred ninety-nine billion, two hundred twenty-eight million, seven hundred thirteen thousand, two hundred eighty".