105014200 has 48 divisors (see below), whose sum is σ = 248789880. Its totient is φ = 41208960.

The previous prime is 105014171. The next prime is 105014201. The reversal of 105014200 is 2410501.

It is a super-2 number, since 2×105014200² = 22055964403280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105014201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5647 + ... + 15553.

Almost surely, 2^105014200 is an apocalyptic number.

105014200 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 105014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124394940).

105014200 is an abundant number, since it is smaller than the sum of its proper divisors (143775680).

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

105014200 is a wasteful number, since it uses less digits than its factorization.

105014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9976 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105014200 is about 10247.6436315867. The cubic root of 105014200 is about 471.7906641379.

Adding to 105014200 its reverse (2410501), we get a palindrome (107424701).

The spelling of 105014200 in words is "one hundred five million, fourteen thousand, two hundred".