105321121620503 has 8 divisors (see below), whose sum is σ = 106082406749088. Its totient is φ = 104562570012064.

The previous prime is 105321121620487. The next prime is 105321121620551. The reversal of 105321121620503 is 305026121123501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105321121620503 - 2⁴ = 105321121620487 is a prime.

It is a super-2 number, since 2×105321121620503² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105321121620503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105321121620203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 683302700 + ... + 683456817.

It is an arithmetic number, because the mean of its divisors is an integer number (13260300843636).

Almost surely, 2^{105321121620503} is an apocalyptic number.

105321121620503 is a deficient number, since it is larger than the sum of its proper divisors (761285128585).

105321121620503 is a wasteful number, since it uses less digits than its factorization.

105321121620503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366760073.

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 105321121620503 in words is "one hundred five trillion, three hundred twenty-one billion, one hundred twenty-one million, six hundred twenty thousand, five hundred three".