105553163125441 has 2 divisors, whose sum is σ = 105553163125442. Its totient is φ = 105553163125440.

The previous prime is 105553163125433. The next prime is 105553163125463. The reversal of 105553163125441 is 144521361355501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73947358540225 + 31605804585216 = 8599265^2 + 5621904^2 .

It is a cyclic number.

It is not a de Polignac number, because 105553163125441 - 2³ = 105553163125433 is a prime.

It is a super-2 number, since 2×105553163125441² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105553163125391 and 105553163125400.

It is not a weakly prime, because it can be changed into another prime (105553163125141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52776581562720 + 52776581562721.

It is an arithmetic number, because the mean of its divisors is an integer number (52776581562721).

Almost surely, 2^{105553163125441} is an apocalyptic number.

It is an amenable number.

105553163125441 is a deficient number, since it is larger than the sum of its proper divisors (1).

105553163125441 is an equidigital number, since it uses as much as digits as its factorization.

105553163125441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080000, while the sum is 46.

The spelling of 105553163125441 in words is "one hundred five trillion, five hundred fifty-three billion, one hundred sixty-three million, one hundred twenty-five thousand, four hundred forty-one".