105563145632 has 48 divisors (see below), whose sum is σ = 247843919232. Its totient is φ = 43274330880.

The previous prime is 105563145613. The next prime is 105563145637. The reversal of 105563145632 is 236541365501.

It is a super-2 number, since 2×105563145632² (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 105563145632.

It is not an unprimeable number, because it can be changed into a prime (105563145637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10239719 + ... + 10250022.

It is an arithmetic number, because the mean of its divisors is an integer number (5163414984).

Almost surely, 2^105563145632 is an apocalyptic number.

It is an amenable number.

105563145632 is an abundant number, since it is smaller than the sum of its proper divisors (142280773600).

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

105563145632 is a wasteful number, since it uses less digits than its factorization.

105563145632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20489781 (or 20489773 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 105563145632 in words is "one hundred five billion, five hundred sixty-three million, one hundred forty-five thousand, six hundred thirty-two".