105082298896 has 15 divisors (see below), whose sum is σ = 203599466413. Its totient is φ = 52540501120.

The previous prime is 105082298891. The next prime is 105082298929. The reversal of 105082298896 is 698892280501.

The square root of 105082298896 is 324164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56470868496 + 48611430400 = 237636^2 + 220480^2 .

It is a super-2 number, since 2×105082298896² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105082298896.

It is not an unprimeable number, because it can be changed into a prime (105082298891) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1256136 + ... + 1337176.

Almost surely, 2^105082298896 is an apocalyptic number.

105082298896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105082298896 is the 324164-th square number.

It is an amenable number.

105082298896 is a deficient number, since it is larger than the sum of its proper divisors (98517167517).

105082298896 is an frugal number, since it uses more digits than its factorization.

105082298896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162090 (or 81043 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 58.

The spelling of 105082298896 in words is "one hundred five billion, eighty-two million, two hundred ninety-eight thousand, eight hundred ninety-six".