105485553629 has 2 divisors, whose sum is σ = 105485553630. Its totient is φ = 105485553628.

The previous prime is 105485553533. The next prime is 105485553647. The reversal of 105485553629 is 926355584501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96948163225 + 8537390404 = 311365^2 + 92398^2 .

It is a cyclic number.

It is not a de Polignac number, because 105485553629 - 2¹⁶ = 105485488093 is a prime.

It is a super-2 number, since 2×105485553629² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105485553029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52742776814 + 52742776815.

It is an arithmetic number, because the mean of its divisors is an integer number (52742776815).

Almost surely, 2^105485553629 is an apocalyptic number.

It is an amenable number.

105485553629 is a deficient number, since it is larger than the sum of its proper divisors (1).

105485553629 is an equidigital number, since it uses as much as digits as its factorization.

105485553629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480000, while the sum is 53.

The spelling of 105485553629 in words is "one hundred five billion, four hundred eighty-five million, five hundred fifty-three thousand, six hundred twenty-nine".