105275326464 has 864 divisors, whose sum is σ = 405671535360. Its totient is φ = 25480396800.

The previous prime is 105275326433. The next prime is 105275326487. The reversal of 105275326464 is 464623572501.

105275326464 is a `hidden beast` number, since 1 + 0 + 52 + 7 + 532 + 6 + 4 + 64 = 666.

It is a super-2 number, since 2×105275326464² (a number of 23 digits) contains 22 as substring.

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, 1725824994 + ... + 1725825054.

It is an arithmetic number, because the mean of its divisors is an integer number (469527240).

Almost surely, 2^105275326464 is an apocalyptic number.

105275326464 is a gapful number since it is divisible by the number (14) 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 105275326464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202835767680).

105275326464 is an abundant number, since it is smaller than the sum of its proper divisors (300396208896).

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

105275326464 is an equidigital number, since it uses as much as digits as its factorization.

105275326464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 105275326464 its reverse (464623572501), we get a palindrome (569898898965).

The spelling of 105275326464 in words is "one hundred five billion, two hundred seventy-five million, three hundred twenty-six thousand, four hundred sixty-four".