105211300 has 72 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 39283200.

The previous prime is 105211291. The next prime is 105211321. The reversal of 105211300 is 3112501.

It is a super-2 number, since 2×105211300² = 22138835295380000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338145 + ... + 338455.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^105211300 is an apocalyptic number.

105211300 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 105211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

105211300 is an abundant number, since it is smaller than the sum of its proper divisors (138523100).

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

105211300 is a wasteful number, since it uses less digits than its factorization.

105211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105211300 is about 10257.2559683377. The cubic root of 105211300 is about 472.0856459062.

Adding to 105211300 its reverse (3112501), we get a palindrome (108323801).

The spelling of 105211300 in words is "one hundred five million, two hundred eleven thousand, three hundred".