105630 has 32 divisors (see below), whose sum is σ = 290304. Its totient is φ = 24096.

The previous prime is 105619. The next prime is 105649. The reversal of 105630 is 36501.

105630 = 37² + 38² + ... + 71².

It is a super-2 number, since 2×105630² = 22315393800, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹⁰⁵⁶³⁰ is an apocalyptic number.

105630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

105630 is an abundant number, since it is smaller than the sum of its proper divisors (184674).

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

105630 is a wasteful number, since it uses less digits than its factorization.

105630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520.

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

The square root of 105630 is about 325.0076922167. The cubic root of 105630 is about 47.2711056015.

The spelling of 105630 in words is "one hundred five thousand, six hundred thirty".