105145300 has 72 divisors (see below), whose sum is σ = 254280600. Its totient is φ = 37470720.

The previous prime is 105145291. The next prime is 105145301. The reversal of 105145300 is 3541501.

It can be written as a sum of positive squares in 12 ways, for example, as 38787984 + 66357316 = 6228^2 + 8146^2 .

It is a super-2 number, since 2×105145300² = 22111068224180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105145301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36306 + ... + 39094.

It is an arithmetic number, because the mean of its divisors is an integer number (3531675).

Almost surely, 2^105145300 is an apocalyptic number.

105145300 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 105145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127140300).

105145300 is an abundant number, since it is smaller than the sum of its proper divisors (149135300).

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

105145300 is a wasteful number, since it uses less digits than its factorization.

105145300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105145300 is about 10254.0382289125. The cubic root of 105145300 is about 471.9869107258.

Adding to 105145300 its reverse (3541501), we get a palindrome (108686801).

The spelling of 105145300 in words is "one hundred five million, one hundred forty-five thousand, three hundred".