105144415873 has 8 divisors (see below), whose sum is σ = 120173798592. Its totient is φ = 90117221136.

The previous prime is 105144415861. The next prime is 105144415907. The reversal of 105144415873 is 378514441501.

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 105144415873 - 2¹³ = 105144407681 is a prime.

It is a super-2 number, since 2×105144415873² (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 (105144415373) 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 7 ways as a sum of consecutive naturals, for example, 442690 + ... + 637387.

It is an arithmetic number, because the mean of its divisors is an integer number (15021724824).

Almost surely, 2^105144415873 is an apocalyptic number.

It is an amenable number.

105144415873 is a deficient number, since it is larger than the sum of its proper divisors (15029382719).

105144415873 is a wasteful number, since it uses less digits than its factorization.

105144415873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093991.

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 105144415873 in words is "one hundred five billion, one hundred forty-four million, four hundred fifteen thousand, eight hundred seventy-three".