105611504960 has 56 divisors (see below), whose sum is σ = 270832591176. Its totient is φ = 38995015680.

The previous prime is 105611504941. The next prime is 105611504969. The reversal of 105611504960 is 69405116501.

It can be written as a sum of positive squares in 4 ways, for example, as 22215306304 + 83396198656 = 149048^2 + 288784^2 .

It is a super-2 number, since 2×105611504960² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105611504969) 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 7 ways as a sum of consecutive naturals, for example, 12689531 + ... + 12697850.

It is an arithmetic number, because the mean of its divisors is an integer number (4836296271).

Almost surely, 2^105611504960 is an apocalyptic number.

105611504960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105611504960 is an abundant number, since it is smaller than the sum of its proper divisors (165221086216).

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

105611504960 is a wasteful number, since it uses less digits than its factorization.

105611504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387411 (or 25387401 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 105611504960 in words is "one hundred five billion, six hundred eleven million, five hundred four thousand, nine hundred sixty".