105654 has 8 divisors (see below), whose sum is σ = 211320. Its totient is φ = 35216.

The previous prime is 105653. The next prime is 105667. The reversal of 105654 is 456501.

It is a happy number.

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

105654 is an admirable number.

It is a super-2 number, since 2×105654² = 22325535432, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105654.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105654.

It is not an unprimeable number, because it can be changed into a prime (105653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8799 + ... + 8810.

It is an arithmetic number, because the mean of its divisors is an integer number (26415).

2¹⁰⁵⁶⁵⁴ is an apocalyptic number.

105654 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105654 is a wasteful number, since it uses less digits than its factorization.

105654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17614.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105654 is about 325.0446123227. The cubic root of 105654 is about 47.2746854577.

The spelling of 105654 in words is "one hundred five thousand, six hundred fifty-four".