105272619 has 8 divisors (see below), whose sum is σ = 148620240. Its totient is φ = 66053376.

The previous prime is 105272599. The next prime is 105272647. The reversal of 105272619 is 916272501.

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

It is not a de Polignac number, because 105272619 - 2⁷ = 105272491 is a prime.

It is a super-2 number, since 2×105272619² = 22164648622238322, 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 105272619.

It is not an unprimeable number, because it can be changed into a prime (105272119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032034 + ... + 1032135.

It is an arithmetic number, because the mean of its divisors is an integer number (18577530).

Almost surely, 2^105272619 is an apocalyptic number.

105272619 is a deficient number, since it is larger than the sum of its proper divisors (43347621).

105272619 is a wasteful number, since it uses less digits than its factorization.

105272619 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064189.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 105272619 is about 10260.2445877279. The cubic root of 105272619 is about 472.1773413729.

The spelling of 105272619 in words is "one hundred five million, two hundred seventy-two thousand, six hundred nineteen".