105766672381 has 8 divisors (see below), whose sum is σ = 108800739680. Its totient is φ = 102741842448.

The previous prime is 105766672351. The next prime is 105766672393. The reversal of 105766672381 is 183276667501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105766672381 - 2¹¹ = 105766670333 is a prime.

It is a super-2 number, since 2×105766672381² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105766672351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2286111 + ... + 2331916.

It is an arithmetic number, because the mean of its divisors is an integer number (13600092460).

Almost surely, 2^105766672381 is an apocalyptic number.

It is an amenable number.

105766672381 is a deficient number, since it is larger than the sum of its proper divisors (3034067299).

105766672381 is an equidigital number, since it uses as much as digits as its factorization.

105766672381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618683.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 105766672381 in words is "one hundred five billion, seven hundred sixty-six million, six hundred seventy-two thousand, three hundred eighty-one".