103331681982160 has 80 divisors (see below), whose sum is σ = 246747141542736. Its totient is φ = 40214295465984.

The previous prime is 103331681982059. The next prime is 103331681982161. The reversal of 103331681982160 is 61289186133301.

It can be written as a sum of positive squares in 8 ways, for example, as 46225367557776 + 57106314424384 = 6798924^2 + 7556872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 103331681982098 and 103331681982107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103331681982161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95403972 + ... + 96480988.

Almost surely, 2^{103331681982160} is an apocalyptic number.

103331681982160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103331681982160 is an abundant number, since it is smaller than the sum of its proper divisors (143415459560576).

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

103331681982160 is a wasteful number, since it uses less digits than its factorization.

103331681982160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109480 (or 1109474 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 103331681982160 in words is "one hundred three trillion, three hundred thirty-one billion, six hundred eighty-one million, nine hundred eighty-two thousand, one hundred sixty".