105437730401865 has 64 divisors (see below), whose sum is σ = 190626327091200. Its totient is φ = 55286869816512.

The previous prime is 105437730401849. The next prime is 105437730401881. The reversal of 105437730401865 is 568104037734501.

105437730401865 is a `hidden beast` number, since 1 + 0 + 54 + 377 + 3 + 0 + 40 + 186 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (105437730401849) and next prime (105437730401881).

It is not a de Polignac number, because 105437730401865 - 2⁴ = 105437730401849 is a prime.

It is a super-2 number, since 2×105437730401865² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25343179 + ... + 29208768.

It is an arithmetic number, because the mean of its divisors is an integer number (2978536360800).

Almost surely, 2^{105437730401865} is an apocalyptic number.

105437730401865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105437730401865 is a deficient number, since it is larger than the sum of its proper divisors (85188596689335).

105437730401865 is a wasteful number, since it uses less digits than its factorization.

105437730401865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54552203 (or 54552197 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 105437730401865 in words is "one hundred five trillion, four hundred thirty-seven billion, seven hundred thirty million, four hundred one thousand, eight hundred sixty-five".