105415325541 has 12 divisors (see below), whose sum is σ = 155980400940. Its totient is φ = 68562813120.

The previous prime is 105415325497. The next prime is 105415325567. The reversal of 105415325541 is 145523514501.

105415325541 is a `hidden beast` number, since 1 + 0 + 5 + 41 + 53 + 25 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13397136516 + 92018189025 = 115746^2 + 303345^2 .

It is not a de Polignac number, because 105415325541 - 2¹⁴ = 105415309157 is a prime.

It is a super-2 number, since 2×105415325541² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105415325496 and 105415325505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105415325591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142838826 + ... + 142839563.

It is an arithmetic number, because the mean of its divisors is an integer number (12998366745).

Almost surely, 2^105415325541 is an apocalyptic number.

It is an amenable number.

105415325541 is a deficient number, since it is larger than the sum of its proper divisors (50565075399).

105415325541 is a wasteful number, since it uses less digits than its factorization.

105415325541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285678436 (or 285678433 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 105415325541 in words is "one hundred five billion, four hundred fifteen million, three hundred twenty-five thousand, five hundred forty-one".