105132464616 has 32 divisors (see below), whose sum is σ = 265242463200. Its totient is φ = 34722648000.

The previous prime is 105132464611. The next prime is 105132464617. The reversal of 105132464616 is 616464231501.

It is a super-2 number, since 2×105132464616² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105132464611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20091510 + ... + 20096741.

It is an arithmetic number, because the mean of its divisors is an integer number (8288826975).

Almost surely, 2^105132464616 is an apocalyptic number.

It is an amenable number.

105132464616 is an abundant number, since it is smaller than the sum of its proper divisors (160109998584).

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

105132464616 is a wasteful number, since it uses less digits than its factorization.

105132464616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40188369 (or 40188365 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 105132464616 in words is "one hundred five billion, one hundred thirty-two million, four hundred sixty-four thousand, six hundred sixteen".