105468242410 has 16 divisors (see below), whose sum is σ = 189846540936. Its totient is φ = 42186473728.

The previous prime is 105468242401. The next prime is 105468242431. The reversal of 105468242410 is 14242864501.

It can be written as a sum of positive squares in 4 ways, for example, as 105138711001 + 329531409 = 324251^2 + 18153^2 .

It is a super-2 number, since 2×105468242410² (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 105468242410.

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 7 ways as a sum of consecutive naturals, for example, 909054 + ... + 1018486.

Almost surely, 2^105468242410 is an apocalyptic number.

105468242410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105468242410 is a deficient number, since it is larger than the sum of its proper divisors (84378298526).

105468242410 is a wasteful number, since it uses less digits than its factorization.

105468242410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205817.

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 105468242410 in words is "one hundred five billion, four hundred sixty-eight million, two hundred forty-two thousand, four hundred ten".