105516398592 has 720 divisors, whose sum is σ = 370375059600. Its totient is φ = 28785377280.

The previous prime is 105516398549. The next prime is 105516398629. The reversal of 105516398592 is 295893615501.

105516398592 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 16 + 39 + 8 + 592 = 666.

It is a super-2 number, since 2×105516398592² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4587669493 + ... + 4587669515.

It is an arithmetic number, because the mean of its divisors is an integer number (514409805).

Almost surely, 2^105516398592 is an apocalyptic number.

105516398592 is a gapful number since it is divisible by the number (12) 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 105516398592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185187529800).

105516398592 is an abundant number, since it is smaller than the sum of its proper divisors (264858661008).

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

105516398592 is an equidigital number, since it uses as much as digits as its factorization.

105516398592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 105516398592 in words is "one hundred five billion, five hundred sixteen million, three hundred ninety-eight thousand, five hundred ninety-two".