105928495848 has 768 divisors, whose sum is σ = 382427136000. Its totient is φ = 26771399424.

The previous prime is 105928495789. The next prime is 105928495873. The reversal of 105928495848 is 848594829501.

105928495848 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 2 + 8 + 49 + 584 + 8 = 666.

It is a super-2 number, since 2×105928495848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 279494523 + ... + 279494901.

It is an arithmetic number, because the mean of its divisors is an integer number (497952000).

Almost surely, 2^105928495848 is an apocalyptic number.

105928495848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105928495848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568000).

105928495848 is an abundant number, since it is smaller than the sum of its proper divisors (276498640152).

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

105928495848 is a wasteful number, since it uses less digits than its factorization.

105928495848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 105928495848 in words is "one hundred five billion, nine hundred twenty-eight million, four hundred ninety-five thousand, eight hundred forty-eight".