105302412352 has 28 divisors (see below), whose sum is σ = 208984679820. Its totient is φ = 52644855296.

The previous prime is 105302412323. The next prime is 105302412359. The reversal of 105302412352 is 253214203501.

It can be written as a sum of positive squares in 2 ways, for example, as 17908862976 + 87393549376 = 133824^2 + 295624^2 .

It is a super-2 number, since 2×105302412352² (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 105302412352.

It is not an unprimeable number, because it can be changed into a prime (105302412359) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 459918 + ... + 649714.

It is an arithmetic number, because the mean of its divisors is an integer number (7463738565).

Almost surely, 2^105302412352 is an apocalyptic number.

It is an amenable number.

105302412352 is a deficient number, since it is larger than the sum of its proper divisors (103682267468).

105302412352 is an equidigital number, since it uses as much as digits as its factorization.

105302412352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198478 (or 198468 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 105302412352 its reverse (253214203501), we get a palindrome (358516615853).

The spelling of 105302412352 in words is "one hundred five billion, three hundred two million, four hundred twelve thousand, three hundred fifty-two".