153105 has 16 divisors (see below), whose sum is σ = 250560. Its totient is φ = 79808.

The previous prime is 153089. The next prime is 153107. The reversal of 153105 is 501351.

It is a cyclic number.

It is not a de Polignac number, because 153105 - 2⁴ = 153089 is a prime.

It is a super-2 number, since 2×153105² = 46882282050, 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 (153107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (15660).

2¹⁵³¹⁰⁵ is an apocalyptic number.

153105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153105 is a deficient number, since it is larger than the sum of its proper divisors (97455).

153105 is a wasteful number, since it uses less digits than its factorization.

153105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 153105 is about 391.2863401654. The cubic root of 153105 is about 53.4970447024.

Adding to 153105 its reverse (501351), we get a palindrome (654456).

The spelling of 153105 in words is "one hundred fifty-three thousand, one hundred five".