105045300 has 108 divisors (see below), whose sum is σ = 346644480. Its totient is φ = 26533440.

The previous prime is 105045299. The next prime is 105045313. The reversal of 105045300 is 3540501.

It is a super-2 number, since 2×105045300² = 22069030104180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14029 + ... + 20171.

Almost surely, 2^105045300 is an apocalyptic number.

105045300 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 105045300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

105045300 is an abundant number, since it is smaller than the sum of its proper divisors (241599180).

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

105045300 is a wasteful number, since it uses less digits than its factorization.

105045300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6182 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105045300 is about 10249.1609412673. The cubic root of 105045300 is about 471.8372332097.

Adding to 105045300 its reverse (3540501), we get a palindrome (108585801).

The spelling of 105045300 in words is "one hundred five million, forty-five thousand, three hundred".