105220332464 has 20 divisors (see below), whose sum is σ = 219546271056. Its totient is φ = 48563230272.

The previous prime is 105220332461. The next prime is 105220332473. The reversal of 105220332464 is 464233022501.

It is a super-2 number, since 2×105220332464² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105220332464.

It is not an unprimeable number, because it can be changed into a prime (105220332461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252933284 + ... + 252933699.

Almost surely, 2^105220332464 is an apocalyptic number.

It is an amenable number.

105220332464 is an abundant number, since it is smaller than the sum of its proper divisors (114325938592).

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

105220332464 is a wasteful number, since it uses less digits than its factorization.

105220332464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505867004 (or 505866998 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 105220332464 its reverse (464233022501), we get a palindrome (569453354965).

The spelling of 105220332464 in words is "one hundred five billion, two hundred twenty million, three hundred thirty-two thousand, four hundred sixty-four".