103430671070560 has 192 divisors, whose sum is σ = 255288910464000. Its totient is φ = 39525419907072.

The previous prime is 103430671070533. The next prime is 103430671070567. The reversal of 103430671070560 is 65070176034301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103430671070567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16685054341 + ... + 16685060539.

It is an arithmetic number, because the mean of its divisors is an integer number (1329629742000).

Almost surely, 2^{103430671070560} is an apocalyptic number.

103430671070560 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 103430671070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127644455232000).

103430671070560 is an abundant number, since it is smaller than the sum of its proper divisors (151858239393440).

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

103430671070560 is a wasteful number, since it uses less digits than its factorization.

103430671070560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013 (or 11005 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 103430671070560 in words is "one hundred three trillion, four hundred thirty billion, six hundred seventy-one million, seventy thousand, five hundred sixty".