105002214 has 24 divisors (see below), whose sum is σ = 217506120. Its totient is φ = 33792192.

The previous prime is 105002213. The next prime is 105002231. The reversal of 105002214 is 412200501.

It is a super-2 number, since 2×105002214² = 22050929889803592, which contains 22 as substring.

105002214 is a modest number, since divided by 2214 gives 1050 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 105002193 and 105002202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105002213) 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, 5359 + ... + 15450.

It is an arithmetic number, because the mean of its divisors is an integer number (9062755).

Almost surely, 2^105002214 is an apocalyptic number.

105002214 is an abundant number, since it is smaller than the sum of its proper divisors (112503906).

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

105002214 is a wasteful number, since it uses less digits than its factorization.

105002214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20872 (or 20843 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 105002214 is about 10247.0587975282. The cubic root of 105002214 is about 471.7727138733.

Adding to 105002214 its reverse (412200501), we get a palindrome (517202715).

The spelling of 105002214 in words is "one hundred five million, two thousand, two hundred fourteen".