105345331425 has 72 divisors (see below), whose sum is σ = 190279964160. Its totient is φ = 55710278400.

The previous prime is 105345331411. The next prime is 105345331513. The reversal of 105345331425 is 524133543501.

105345331425 is a `hidden beast` number, since 1 + 0 + 534 + 53 + 31 + 42 + 5 = 666.

It is not a de Polignac number, because 105345331425 - 2¹⁸ = 105345069281 is a prime.

It is a super-2 number, since 2×105345331425² (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 105345331425.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40656880 + ... + 40659470.

It is an arithmetic number, because the mean of its divisors is an integer number (2642777280).

Almost surely, 2^105345331425 is an apocalyptic number.

105345331425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105345331425 is a deficient number, since it is larger than the sum of its proper divisors (84934632735).

105345331425 is a wasteful number, since it uses less digits than its factorization.

105345331425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 105345331425 its reverse (524133543501), we get a palindrome (629478874926).

The spelling of 105345331425 in words is "one hundred five billion, three hundred forty-five million, three hundred thirty-one thousand, four hundred twenty-five".