105337246249 has 3 divisors (see below), whose sum is σ = 105337570807. Its totient is φ = 105336921692.

The previous prime is 105337246241. The next prime is 105337246271. The reversal of 105337246249 is 942642733501.

The square root of 105337246249 is 324557.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 942642733501 = 7 ⋅134663247643.

It can be written as a sum of positive squares in only one way, i.e., 705699225 + 104631547024 = 26565^2 + 323468^2 .

It is not a de Polignac number, because 105337246249 - 2³ = 105337246241 is a prime.

It is a super-2 number, since 2×105337246249² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105337246199 and 105337246208.

It is not an unprimeable number, because it can be changed into a prime (105337246241) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 162279 + ... + 486835.

Almost surely, 2^105337246249 is an apocalyptic number.

105337246249 is the 324557-th square number.

105337246249 is the 162279-th centered octagonal number.

It is an amenable number.

105337246249 is a deficient number, since it is larger than the sum of its proper divisors (324558).

105337246249 is an frugal number, since it uses more digits than its factorization.

105337246249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649114 (or 324557 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 105337246249 in words is "one hundred five billion, three hundred thirty-seven million, two hundred forty-six thousand, two hundred forty-nine".