105801168948 has 24 divisors (see below), whose sum is σ = 246984975552. Its totient is φ = 35250544704.

The previous prime is 105801168919. The next prime is 105801169007. The reversal of 105801168948 is 849861108501.

It is a super-2 number, since 2×105801168948² (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 105801168948.

It is a congruent number.

It is an unprimeable number.

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, 2037240 + ... + 2088527.

It is an arithmetic number, because the mean of its divisors is an integer number (10291040648).

Almost surely, 2^105801168948 is an apocalyptic number.

It is an amenable number.

105801168948 is an abundant number, since it is smaller than the sum of its proper divisors (141183806604).

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

105801168948 is a wasteful number, since it uses less digits than its factorization.

105801168948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127911 (or 4127909 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 51.

The spelling of 105801168948 in words is "one hundred five billion, eight hundred one million, one hundred sixty-eight thousand, nine hundred forty-eight".