105083658541 has 2 divisors, whose sum is σ = 105083658542. Its totient is φ = 105083658540.

The previous prime is 105083658539. The next prime is 105083658649. The reversal of 105083658541 is 145856380501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86418360900 + 18665297641 = 293970^2 + 136621^2 .

It is a cyclic number.

It is not a de Polignac number, because 105083658541 - 2¹ = 105083658539 is a prime.

It is a super-2 number, since 2×105083658541² (a number of 23 digits) contains 22 as substring.

Together with 105083658539, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105083658491 and 105083658500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105083658041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52541829270 + 52541829271.

It is an arithmetic number, because the mean of its divisors is an integer number (52541829271).

Almost surely, 2^105083658541 is an apocalyptic number.

It is an amenable number.

105083658541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105083658541 is an equidigital number, since it uses as much as digits as its factorization.

105083658541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576000, while the sum is 46.

The spelling of 105083658541 in words is "one hundred five billion, eighty-three million, six hundred fifty-eight thousand, five hundred forty-one".