105006300 has 144 divisors (see below), whose sum is σ = 358643712. Its totient is φ = 23212800.

The previous prime is 105006277. The next prime is 105006313. The reversal of 105006300 is 3600501.

It is a super-2 number, since 2×105006300² = 22052646079380000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105006300.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 64294 + ... + 65906.

Almost surely, 2^105006300 is an apocalyptic number.

105006300 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 105006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179321856).

105006300 is an abundant number, since it is smaller than the sum of its proper divisors (253637412).

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

105006300 is a wasteful number, since it uses less digits than its factorization.

105006300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1661 counting only the distinct ones).

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

The square root of 105006300 is about 10247.2581698716. The cubic root of 105006300 is about 471.7788332309.

Adding to 105006300 its reverse (3600501), we get a palindrome (108606801).

The spelling of 105006300 in words is "one hundred five million, six thousand, three hundred".