105165015541 has 2 divisors, whose sum is σ = 105165015542. Its totient is φ = 105165015540.

The previous prime is 105165015509. The next prime is 105165015583. The reversal of 105165015541 is 145510561501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104374224900 + 790790641 = 323070^2 + 28121^2 .

It is a cyclic number.

It is not a de Polignac number, because 105165015541 - 2⁵ = 105165015509 is a prime.

It is a super-2 number, since 2×105165015541² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105165015497 and 105165015506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105169015541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52582507770 + 52582507771.

It is an arithmetic number, because the mean of its divisors is an integer number (52582507771).

Almost surely, 2^105165015541 is an apocalyptic number.

It is an amenable number.

105165015541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105165015541 is an equidigital number, since it uses as much as digits as its factorization.

105165015541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15000, while the sum is 34.

The spelling of 105165015541 in words is "one hundred five billion, one hundred sixty-five million, fifteen thousand, five hundred forty-one".