105338827 has 8 divisors (see below), whose sum is σ = 119911680. Its totient is φ = 91598760.

The previous prime is 105338813. The next prime is 105338833. The reversal of 105338827 is 728833501.

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

It is not a de Polignac number, because 105338827 - 2⁷ = 105338699 is a prime.

It is a super-2 number, since 2×105338827² = 22192536947471858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105338867) 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, 207927 + ... + 208432.

It is an arithmetic number, because the mean of its divisors is an integer number (14988960).

Almost surely, 2^105338827 is an apocalyptic number.

105338827 is a deficient number, since it is larger than the sum of its proper divisors (14572853).

105338827 is a wasteful number, since it uses less digits than its factorization.

105338827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416393.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 105338827 is about 10263.4705144020. The cubic root of 105338827 is about 472.2763078033.

The spelling of 105338827 in words is "one hundred five million, three hundred thirty-eight thousand, eight hundred twenty-seven".