63105 has 16 divisors (see below), whose sum is σ = 115584. Its totient is φ = 28800.

The previous prime is 63103. The next prime is 63113. The reversal of 63105 is 50136.

63105 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63105 - 2¹ = 63103 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (7224).

2⁶³¹⁰⁵ is an apocalyptic number.

It is an amenable number.

63105 is a deficient number, since it is larger than the sum of its proper divisors (52479).

63105 is a wasteful number, since it uses less digits than its factorization.

63105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 63105 is about 251.2070858873. The cubic root of 63105 is about 39.8126656827.

The spelling of 63105 in words is "sixty-three thousand, one hundred five".