105238667 has 8 divisors (see below), whose sum is σ = 106492080. Its totient is φ = 103989600.

The previous prime is 105238657. The next prime is 105238669. The reversal of 105238667 is 766832501.

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

It is not a de Polignac number, because 105238667 - 2¹⁴ = 105222283 is a prime.

It is a super-2 number, since 2×105238667² = 22150354063873778, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105238667.

It is not an unprimeable number, because it can be changed into a prime (105238669) 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, 86153 + ... + 87365.

It is an arithmetic number, because the mean of its divisors is an integer number (13311510).

Almost surely, 2^105238667 is an apocalyptic number.

105238667 is a deficient number, since it is larger than the sum of its proper divisors (1253413).

105238667 is a wasteful number, since it uses less digits than its factorization.

105238667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 105238667 is about 10258.5899128486. The cubic root of 105238667 is about 472.1265744878.

The spelling of 105238667 in words is "one hundred five million, two hundred thirty-eight thousand, six hundred sixty-seven".