105354312410 has 8 divisors (see below), whose sum is σ = 189637762356. Its totient is φ = 42141724960.

The previous prime is 105354312397. The next prime is 105354312431. The reversal of 105354312410 is 14213453501.

105354312410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 105042754609 + 311557801 = 324103^2 + 17651^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105354312410² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5267715611 + ... + 5267715630.

Almost surely, 2^105354312410 is an apocalyptic number.

105354312410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105354312410 is a deficient number, since it is larger than the sum of its proper divisors (84283449946).

105354312410 is a wasteful number, since it uses less digits than its factorization.

105354312410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535431248.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 105354312410 its reverse (14213453501), we get a palindrome (119567765911).

The spelling of 105354312410 in words is "one hundred five billion, three hundred fifty-four million, three hundred twelve thousand, four hundred ten".