105105153 has 4 divisors (see below), whose sum is σ = 140140208. Its totient is φ = 70070100.

The previous prime is 105105109. The next prime is 105105163. The reversal of 105105153 is 351501501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 105105153 - 2¹⁸ = 104843009 is a prime.

It is a super-2 number, since 2×105105153² = 22094186374306818, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105105163) 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 3 ways as a sum of consecutive naturals, for example, 17517523 + ... + 17517528.

It is an arithmetic number, because the mean of its divisors is an integer number (35035052).

Almost surely, 2^105105153 is an apocalyptic number.

It is an amenable number.

105105153 is a deficient number, since it is larger than the sum of its proper divisors (35035055).

105105153 is an equidigital number, since it uses as much as digits as its factorization.

105105153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35035054.

The product of its (nonzero) digits is 375, while the sum is 21.

The square root of 105105153 is about 10252.0804230166. The cubic root of 105105153 is about 471.9268311003.

Adding to 105105153 its reverse (351501501), we get a palindrome (456606654).

The spelling of 105105153 in words is "one hundred five million, one hundred five thousand, one hundred fifty-three".