105455046225 has 48 divisors (see below), whose sum is σ = 176928550848. Its totient is φ = 55416791040.

The previous prime is 105455046199. The next prime is 105455046287. The reversal of 105455046225 is 522640554501.

It is not a de Polignac number, because 105455046225 - 2¹⁶ = 105454980689 is a prime.

It is a super-2 number, since 2×105455046225² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1619497 + ... + 1683353.

It is an arithmetic number, because the mean of its divisors is an integer number (3686011476).

Almost surely, 2^105455046225 is an apocalyptic number.

105455046225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105455046225 is a deficient number, since it is larger than the sum of its proper divisors (71473504623).

105455046225 is a wasteful number, since it uses less digits than its factorization.

105455046225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64194 (or 64189 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 105455046225 in words is "one hundred five billion, four hundred fifty-five million, forty-six thousand, two hundred twenty-five".