105580503275377 has 8 divisors (see below), whose sum is σ = 113702308135976. Its totient is φ = 97458730941312.

The previous prime is 105580503275339. The next prime is 105580503275491. The reversal of 105580503275377 is 773572305085501.

It can be written as a sum of positive squares in 4 ways, for example, as 20768946831616 + 84811556443761 = 4557296^2 + 9209319^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-105580503275377 is a prime.

It is a super-2 number, since 2×105580503275377² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105580503275077) 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, 1169178 + ... + 14578339.

It is an arithmetic number, because the mean of its divisors is an integer number (14212788516997).

Almost surely, 2^{105580503275377} is an apocalyptic number.

It is an amenable number.

105580503275377 is a deficient number, since it is larger than the sum of its proper divisors (8121804860599).

105580503275377 is a wasteful number, since it uses less digits than its factorization.

105580503275377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16263267.

The product of its (nonzero) digits is 30870000, while the sum is 58.

The spelling of 105580503275377 in words is "one hundred five trillion, five hundred eighty billion, five hundred three million, two hundred seventy-five thousand, three hundred seventy-seven".