105450135632325 has 120 divisors (see below), whose sum is σ = 213856666240800. Its totient is φ = 50942760278400.

The previous prime is 105450135632221. The next prime is 105450135632339. The reversal of 105450135632325 is 523236531054501.

105450135632325 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 0 + 1 + 3 + 5 + 632 + 3 + 2 + 5 = 666.

It is not a de Polignac number, because 105450135632325 - 2⁸ = 105450135632069 is a prime.

It is a super-2 number, since 2×105450135632325² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2374975 + ... + 14715324.

It is an arithmetic number, because the mean of its divisors is an integer number (1782138885340).

Almost surely, 2^{105450135632325} is an apocalyptic number.

105450135632325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105450135632325 is an abundant number, since it is smaller than the sum of its proper divisors (108406530608475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105450135632325 is a wasteful number, since it uses less digits than its factorization.

105450135632325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17090609 (or 17090595 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

Adding to 105450135632325 its reverse (523236531054501), we get a palindrome (628686666686826).

The spelling of 105450135632325 in words is "one hundred five trillion, four hundred fifty billion, one hundred thirty-five million, six hundred thirty-two thousand, three hundred twenty-five".