105368303337 has 32 divisors (see below), whose sum is σ = 161886253056. Its totient is φ = 60362366400.

The previous prime is 105368303291. The next prime is 105368303387. The reversal of 105368303337 is 733303863501.

It is not a de Polignac number, because 105368303337 - 2⁸ = 105368303081 is a prime.

It is a super-2 number, since 2×105368303337² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105368303387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153678 + ... + 1241655.

It is an arithmetic number, because the mean of its divisors is an integer number (5058945408).

Almost surely, 2^105368303337 is an apocalyptic number.

It is an amenable number.

105368303337 is a deficient number, since it is larger than the sum of its proper divisors (56517949719).

105368303337 is a wasteful number, since it uses less digits than its factorization.

105368303337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395421.

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 105368303337 in words is "one hundred five billion, three hundred sixty-eight million, three hundred three thousand, three hundred thirty-seven".