105200014 has 16 divisors (see below), whose sum is σ = 161935200. Its totient is φ = 51226240.

The previous prime is 105200003. The next prime is 105200041. The reversal of 105200014 is 410002501.

It is a super-2 number, since 2×105200014² = 22134085891200392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105199967 and 105200003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 85407 + ... + 86629.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2^105200014 is an apocalyptic number.

105200014 is a deficient number, since it is larger than the sum of its proper divisors (56735186).

105200014 is a wasteful number, since it uses less digits than its factorization.

105200014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315.

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

The square root of 105200014 is about 10256.7058064468. The cubic root of 105200014 is about 472.0687651177.

Adding to 105200014 its reverse (410002501), we get a palindrome (515202515).

The spelling of 105200014 in words is "one hundred five million, two hundred thousand, fourteen".