105030 has 32 divisors (see below), whose sum is σ = 280800. Its totient is φ = 27936.

The previous prime is 105023. The next prime is 105031. The reversal of 105030 is 30501.

It is a super-2 number, since 2×105030² = 22062601800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105031) 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, 76 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2¹⁰⁵⁰³⁰ is an apocalyptic number.

105030 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 105030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400).

105030 is an abundant number, since it is smaller than the sum of its proper divisors (175770).

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

105030 is a wasteful number, since it uses less digits than its factorization.

105030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 105030 is about 324.0833226194. The cubic root of 105030 is about 47.1814324172.

Adding to 105030 its reverse (30501), we get a palindrome (135531).

Subtracting from 105030 its reverse (30501), we obtain a square (74529 = 273²).

The spelling of 105030 in words is "one hundred five thousand, thirty".