105314300 has 144 divisors (see below), whose sum is σ = 286981632. Its totient is φ = 32659200.

The previous prime is 105314299. The next prime is 105314311. The reversal of 105314300 is 3413501.

It is a super-2 number, since 2×105314300² = 22182203568980000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646019 + ... + 646181.

It is an arithmetic number, because the mean of its divisors is an integer number (1992928).

Almost surely, 2^105314300 is an apocalyptic number.

105314300 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 105314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143490816).

105314300 is an abundant number, since it is smaller than the sum of its proper divisors (181667332).

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

105314300 is a wasteful number, since it uses less digits than its factorization.

105314300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105314300 is about 10262.2755761088. The cubic root of 105314300 is about 472.2396501578.

Adding to 105314300 its reverse (3413501), we get a palindrome (108727801).

The spelling of 105314300 in words is "one hundred five million, three hundred fourteen thousand, three hundred".