105212004496 has 45 divisors (see below), whose sum is σ = 206545259641. Its totient is φ = 51918999296.

The previous prime is 105212004451. The next prime is 105212004503. The reversal of 105212004496 is 694400212501.

The square root of 105212004496 is 324364.

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., 98432787600 + 6779216896 = 313740^2 + 82336^2 .

It is a super-2 number, since 2×105212004496² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107688360 + ... + 107689336.

Almost surely, 2^105212004496 is an apocalyptic number.

105212004496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105212004496 is the 324364-th square number.

It is an amenable number.

105212004496 is a deficient number, since it is larger than the sum of its proper divisors (101333255145).

105212004496 is an frugal number, since it uses more digits than its factorization.

105212004496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 105212004496 its reverse (694400212501), we get a palindrome (799612216997).

The spelling of 105212004496 in words is "one hundred five billion, two hundred twelve million, four thousand, four hundred ninety-six".