103316824636960 has 192 divisors, whose sum is σ = 267962266865664. Its totient is φ = 37331873049600.

The previous prime is 103316824636939. The next prime is 103316824636997. The reversal of 103316824636960 is 69636428613301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103316824636895 and 103316824636904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1569487567 + ... + 1569553393.

It is an arithmetic number, because the mean of its divisors is an integer number (1395636806592).

Almost surely, 2^{103316824636960} is an apocalyptic number.

103316824636960 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 103316824636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133981133432832).

103316824636960 is an abundant number, since it is smaller than the sum of its proper divisors (164645442228704).

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

103316824636960 is a wasteful number, since it uses less digits than its factorization.

103316824636960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71487 (or 71479 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 58.

The spelling of 103316824636960 in words is "one hundred three trillion, three hundred sixteen billion, eight hundred twenty-four million, six hundred thirty-six thousand, nine hundred sixty".