105485553410 has 8 divisors (see below), whose sum is σ = 189873996156. Its totient is φ = 42194221360.

The previous prime is 105485553403. The next prime is 105485553421. The reversal of 105485553410 is 14355584501.

105485553410 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 90480038401 + 15005515009 = 300799^2 + 122497^2 .

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

It is a super-2 number, since 2×105485553410² (a number of 23 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 5274277661 + ... + 5274277680.

Almost surely, 2^105485553410 is an apocalyptic number.

105485553410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105485553410 is a deficient number, since it is larger than the sum of its proper divisors (84388442746).

105485553410 is a wasteful number, since it uses less digits than its factorization.

105485553410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10548555348.

The product of its (nonzero) digits is 240000, while the sum is 41.

The spelling of 105485553410 in words is "one hundred five billion, four hundred eighty-five million, five hundred fifty-three thousand, four hundred ten".