105321560461403 has 128 divisors (see below), whose sum is σ = 129446549428224. Its totient is φ = 84403391385600.

The previous prime is 105321560461391. The next prime is 105321560461423. The reversal of 105321560461403 is 304164065123501.

It is a cyclic number.

It is not a de Polignac number, because 105321560461403 - 2¹⁶ = 105321560395867 is a prime.

It is a super-2 number, since 2×105321560461403² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105321560461423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127972734050 + ... + 127972734872.

It is an arithmetic number, because the mean of its divisors is an integer number (1011301167408).

Almost surely, 2^{105321560461403} is an apocalyptic number.

105321560461403 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105321560461403 is a deficient number, since it is larger than the sum of its proper divisors (24124988966821).

105321560461403 is a wasteful number, since it uses less digits than its factorization.

105321560461403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 105321560461403 in words is "one hundred five trillion, three hundred twenty-one billion, five hundred sixty million, four hundred sixty-one thousand, four hundred three".