105415325041 has 32 divisors (see below), whose sum is σ = 125318793600. Its totient is φ = 87764511744.

The previous prime is 105415325009. The next prime is 105415325083. The reversal of 105415325041 is 140523514501.

It is not a de Polignac number, because 105415325041 - 2⁵ = 105415325009 is a prime.

It is a super-2 number, since 2×105415325041² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105415324994 and 105415325012.

It is not an unprimeable number, because it can be changed into a prime (105418325041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399010 + ... + 608308.

It is an arithmetic number, because the mean of its divisors is an integer number (3916212300).

Almost surely, 2^105415325041 is an apocalyptic number.

It is an amenable number.

105415325041 is a deficient number, since it is larger than the sum of its proper divisors (19903468559).

105415325041 is a wasteful number, since it uses less digits than its factorization.

105415325041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209425.

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 105415325041 its reverse (140523514501), we get a palindrome (245938839542).

The spelling of 105415325041 in words is "one hundred five billion, four hundred fifteen million, three hundred twenty-five thousand, forty-one".