105973019 has 8 divisors (see below), whose sum is σ = 112791600. Its totient is φ = 99219456.

The previous prime is 105973001. The next prime is 105973031. The reversal of 105973019 is 910379501.

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 105973019 - 2¹² = 105968923 is a prime.

It is a super-2 number, since 2×105973019² = 22460561511948722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105973019.

It is not an unprimeable number, because it can be changed into a prime (105973039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12869 + ... + 19430.

It is an arithmetic number, because the mean of its divisors is an integer number (14098950).

Almost surely, 2^105973019 is an apocalyptic number.

105973019 is a deficient number, since it is larger than the sum of its proper divisors (6818581).

105973019 is a wasteful number, since it uses less digits than its factorization.

105973019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32509.

The product of its (nonzero) digits is 8505, while the sum is 35.

The square root of 105973019 is about 10294.3197444027. The cubic root of 105973019 is about 473.2221913333. Note that the first 3 decimals are identical.

The spelling of 105973019 in words is "one hundred five million, nine hundred seventy-three thousand, nineteen".