105102105 has 32 divisors (see below), whose sum is σ = 175785984. Its totient is φ = 53570496.

The previous prime is 105102103. The next prime is 105102113. The reversal of 105102105 is 501201501.

It is not a de Polignac number, because 105102105 - 2¹ = 105102103 is a prime.

It is a super-2 number, since 2×105102105² = 22092904950862050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (105102103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28582 + ... + 32048.

It is an arithmetic number, because the mean of its divisors is an integer number (5493312).

Almost surely, 2^105102105 is an apocalyptic number.

105102105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105102105 is a deficient number, since it is larger than the sum of its proper divisors (70683879).

105102105 is a wasteful number, since it uses less digits than its factorization.

105102105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565.

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 105102105 is about 10251.9317691838. The cubic root of 105102105 is about 471.9222691709.

Adding to 105102105 its reverse (501201501), we get a palindrome (606303606).

The spelling of 105102105 in words is "one hundred five million, one hundred two thousand, one hundred five".