105288838 has 8 divisors (see below), whose sum is σ = 158846688. Its totient is φ = 52339944.

The previous prime is 105288829. The next prime is 105288847. The reversal of 105288838 is 838882501.

It is an interprime number because it is at equal distance from previous prime (105288829) and next prime (105288847).

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

It is a super-2 number, since 2×105288838² = 22171478814780488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105288794 and 105288803.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 151806 + ... + 152497.

It is an arithmetic number, because the mean of its divisors is an integer number (19855836).

Almost surely, 2^105288838 is an apocalyptic number.

105288838 is a deficient number, since it is larger than the sum of its proper divisors (53557850).

105288838 is a wasteful number, since it uses less digits than its factorization.

105288838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304478.

The product of its (nonzero) digits is 122880, while the sum is 43.

The square root of 105288838 is about 10261.0349380557. The cubic root of 105288838 is about 472.2015890552.

The spelling of 105288838 in words is "one hundred five million, two hundred eighty-eight thousand, eight hundred thirty-eight".