105116300 has 72 divisors (see below), whose sum is σ = 239932560. Its totient is φ = 39916800.

The previous prime is 105116269. The next prime is 105116309. The reversal of 105116300 is 3611501.

It is a super-2 number, since 2×105116300² = 22098873051380000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105116309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 194030 + ... + 194570.

Almost surely, 2^105116300 is an apocalyptic number.

105116300 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 105116300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119966280).

105116300 is an abundant number, since it is smaller than the sum of its proper divisors (134816260).

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

105116300 is a wasteful number, since it uses less digits than its factorization.

105116300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 105116300 is about 10252.6240543580. The cubic root of 105116300 is about 471.9435140199.

Adding to 105116300 its reverse (3611501), we get a palindrome (108727801).

The spelling of 105116300 in words is "one hundred five million, one hundred sixteen thousand, three hundred".