105580503275380 has 144 divisors (see below), whose sum is σ = 258304153492224. Its totient is φ = 35510565242880.

The previous prime is 105580503275339. The next prime is 105580503275491. The reversal of 105580503275380 is 83572305085501.

It is a super-2 number, since 2×105580503275380² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3177917449 + ... + 3177950671.

It is an arithmetic number, because the mean of its divisors is an integer number (1793778843696).

Almost surely, 2^{105580503275380} is an apocalyptic number.

105580503275380 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 105580503275380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129152076746112).

105580503275380 is an abundant number, since it is smaller than the sum of its proper divisors (152723650216844).

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

105580503275380 is a wasteful number, since it uses less digits than its factorization.

105580503275380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41426 (or 41371 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 52.

The spelling of 105580503275380 in words is "one hundred five trillion, five hundred eighty billion, five hundred three million, two hundred seventy-five thousand, three hundred eighty".