105316952748 has 48 divisors (see below), whose sum is σ = 286144185600. Its totient is φ = 29522810304.

The previous prime is 105316952743. The next prime is 105316952779. The reversal of 105316952748 is 847259613501.

It is a super-2 number, since 2×105316952748² (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 105316952748.

It is not an unprimeable number, because it can be changed into a prime (105316952743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11823598 + ... + 11832501.

It is an arithmetic number, because the mean of its divisors is an integer number (5961337200).

It is a 1-persistent number, because it is pandigital, but 2⋅105316952748 = 210633905496 is not.

Almost surely, 2^105316952748 is an apocalyptic number.

It is an amenable number.

105316952748 is an abundant number, since it is smaller than the sum of its proper divisors (180827232852).

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

105316952748 is a wasteful number, since it uses less digits than its factorization.

105316952748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23656166 (or 23656164 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 105316952748 in words is "one hundred five billion, three hundred sixteen million, nine hundred fifty-two thousand, seven hundred forty-eight".