103285939790880 has 4608 divisors, whose sum is σ = 492984614707200. Its totient is φ = 19582282137600.

The previous prime is 103285939790879. The next prime is 103285939790881. The reversal of 103285939790880 is 88097939582301.

103285939790880 is a `hidden beast` number, since 1 + 0 + 3 + 28 + 59 + 397 + 90 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (103285939790879) and next prime (103285939790881).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 103285939790799 and 103285939790808.

It is not an unprimeable number, because it can be changed into a prime (103285939790881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 788442288415 + ... + 788442288545.

It is an arithmetic number, because the mean of its divisors is an integer number (106984508400).

Almost surely, 2^{103285939790880} is an apocalyptic number.

103285939790880 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 103285939790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246492307353600).

103285939790880 is an abundant number, since it is smaller than the sum of its proper divisors (389698674916320).

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

103285939790880 is a wasteful number, since it uses less digits than its factorization.

103285939790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 103285939790880 in words is "one hundred three trillion, two hundred eighty-five billion, nine hundred thirty-nine million, seven hundred ninety thousand, eight hundred eighty".