105513345225 has 48 divisors (see below), whose sum is σ = 198559583040. Its totient is φ = 54901238400.

The previous prime is 105513345199. The next prime is 105513345251. The reversal of 105513345225 is 522543315501.

105513345225 is a `hidden beast` number, since 1 + 0 + 55 + 133 + 452 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (105513345199) and next prime (105513345251).

It is not a de Polignac number, because 105513345225 - 2⁸ = 105513344969 is a prime.

It is a super-2 number, since 2×105513345225² (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 105513345225.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878619 + ... + 1933968.

It is an arithmetic number, because the mean of its divisors is an integer number (4136657980).

Almost surely, 2^105513345225 is an apocalyptic number.

105513345225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105513345225 is a deficient number, since it is larger than the sum of its proper divisors (93046237815).

105513345225 is a wasteful number, since it uses less digits than its factorization.

105513345225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812647 (or 3812636 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 105513345225 in words is "one hundred five billion, five hundred thirteen million, three hundred forty-five thousand, two hundred twenty-five".