105575307445210 has 32 divisors (see below), whose sum is σ = 192257777642112. Its totient is φ = 41739158139840.

The previous prime is 105575307445177. The next prime is 105575307445211. The reversal of 105575307445210 is 12544703575501.

It is a super-2 number, since 2×105575307445210² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105575307445211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178627974 + ... + 179218033.

It is an arithmetic number, because the mean of its divisors is an integer number (6008055551316).

Almost surely, 2^{105575307445210} is an apocalyptic number.

105575307445210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105575307445210 is a deficient number, since it is larger than the sum of its proper divisors (86682470196902).

105575307445210 is a wasteful number, since it uses less digits than its factorization.

105575307445210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357846358.

The product of its (nonzero) digits is 2940000, while the sum is 49.

The spelling of 105575307445210 in words is "one hundred five trillion, five hundred seventy-five billion, three hundred seven million, four hundred forty-five thousand, two hundred ten".