105106038 has 8 divisors (see below), whose sum is σ = 210212088. Its totient is φ = 35035344.

The previous prime is 105106037. The next prime is 105106069. The reversal of 105106038 is 830601501.

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

105106038 is an admirable number.

It is a super-2 number, since 2×105106038² = 22094558448114888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105105999 and 105106017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105106033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8758831 + ... + 8758842.

It is an arithmetic number, because the mean of its divisors is an integer number (26276511).

Almost surely, 2^105106038 is an apocalyptic number.

105106038 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105106038 is a wasteful number, since it uses less digits than its factorization.

105106038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17517678.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105106038 is about 10252.1235848969. The cubic root of 105106038 is about 471.9281556598.

Adding to 105106038 its reverse (830601501), we get a palindrome (935707539).

The spelling of 105106038 in words is "one hundred five million, one hundred six thousand, thirty-eight".