105672734193 has 8 divisors (see below), whose sum is σ = 151735208128. Its totient is φ = 65029374864.

The previous prime is 105672734147. The next prime is 105672734243. The reversal of 105672734193 is 391437276501.

It is a happy number.

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

It is not a de Polignac number, because 105672734193 - 2⁹ = 105672733681 is a prime.

It is a super-2 number, since 2×105672734193² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105672734143) 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, 1354778605 + ... + 1354778682.

It is an arithmetic number, because the mean of its divisors is an integer number (18966901016).

Almost surely, 2^105672734193 is an apocalyptic number.

105672734193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105672734193 is a deficient number, since it is larger than the sum of its proper divisors (46062473935).

105672734193 is a wasteful number, since it uses less digits than its factorization.

105672734193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709557303.

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 105672734193 in words is "one hundred five billion, six hundred seventy-two million, seven hundred thirty-four thousand, one hundred ninety-three".