105316997433649 has 27 divisors (see below), whose sum is σ = 112448570972673. Its totient is φ = 98617626307200.

The previous prime is 105316997433631. The next prime is 105316997433709. The reversal of 105316997433649 is 946334799613501.

The square root of 105316997433649 is 10262407.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12693080680225 + 92623916753424 = 3562735^2 + 9624132^2 .

It is not a de Polignac number, because 105316997433649 - 2¹¹ = 105316997431601 is a prime.

It is a super-2 number, since 2×105316997433649² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105316997433149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36811252479 + ... + 36811255339.

Almost surely, 2^{105316997433649} is an apocalyptic number.

105316997433649 is the 10262407-th square number.

105316997433649 is the 5131204-th centered octagonal number.

It is an amenable number.

105316997433649 is a deficient number, since it is larger than the sum of its proper divisors (7131573539024).

105316997433649 is an frugal number, since it uses more digits than its factorization.

105316997433649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 70.

The spelling of 105316997433649 in words is "one hundred five trillion, three hundred sixteen billion, nine hundred ninety-seven million, four hundred thirty-three thousand, six hundred forty-nine".