105835510085621 has 2 divisors, whose sum is σ = 105835510085622. Its totient is φ = 105835510085620.

The previous prime is 105835510085603. The next prime is 105835510085639. The reversal of 105835510085621 is 126580015538501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105835510085603) and next prime (105835510085639).

It can be written as a sum of positive squares in only one way, i.e., 73177588272100 + 32657921813521 = 8554390^2 + 5714711^2 .

It is a cyclic number.

It is not a de Polignac number, because 105835510085621 - 2²² = 105835505891317 is a prime.

It is a super-2 number, since 2×105835510085621² (a number of 29 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 105835510085621.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105835510081621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52917755042810 + 52917755042811.

It is an arithmetic number, because the mean of its divisors is an integer number (52917755042811).

Almost surely, 2^{105835510085621} is an apocalyptic number.

It is an amenable number.

105835510085621 is a deficient number, since it is larger than the sum of its proper divisors (1).

105835510085621 is an equidigital number, since it uses as much as digits as its factorization.

105835510085621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440000, while the sum is 50.

The spelling of 105835510085621 in words is "one hundred five trillion, eight hundred thirty-five billion, five hundred ten million, eighty-five thousand, six hundred twenty-one".