105000600 has 96 divisors (see below), whose sum is σ = 328104000. Its totient is φ = 27776640.

The previous prime is 105000583. The next prime is 105000601. The reversal of 105000600 is 6000501.

It is a super-2 number, since 2×105000600² = 22050252000720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82771 + ... + 84029.

It is an arithmetic number, because the mean of its divisors is an integer number (3417750).

Almost surely, 2^105000600 is an apocalyptic number.

105000600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105000600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

105000600 is an abundant number, since it is smaller than the sum of its proper divisors (223103400).

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

105000600 is a wasteful number, since it uses less digits than its factorization.

105000600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105000600 is about 10246.9800429200. The cubic root of 105000600 is about 471.7702966383.

Subtracting from 105000600 its reverse (6000501), we obtain a palindrome (99000099).

The spelling of 105000600 in words is "one hundred five million, six hundred", and thus it is an aban number.