102115105 has 8 divisors (see below), whose sum is σ = 122596200. Its totient is φ = 81653376.

The previous prime is 102115103. The next prime is 102115121. The reversal of 102115105 is 501511201.

It can be written as a sum of positive squares in 4 ways, for example, as 13905441 + 88209664 = 3729^2 + 9392^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102115105 - 2¹ = 102115103 is a prime.

It is a super-2 number, since 2×102115105² = 20854989338322050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102115103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12261 + ... + 18829.

It is an arithmetic number, because the mean of its divisors is an integer number (15324525).

Almost surely, 2^102115105 is an apocalyptic number.

It is an amenable number.

102115105 is a deficient number, since it is larger than the sum of its proper divisors (20481095).

102115105 is an equidigital number, since it uses as much as digits as its factorization.

102115105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9683.

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 102115105 is about 10105.2018782407. The cubic root of 102115105 is about 467.4085611437.

Adding to 102115105 its reverse (501511201), we get a palindrome (603626306).

It can be divided in two parts, 10211 and 5105, that multiplied together give a triangular number (52127155 = T₁₀₂₁₀).

The spelling of 102115105 in words is "one hundred two million, one hundred fifteen thousand, one hundred five".