105218334 has 48 divisors (see below), whose sum is σ = 251242992. Its totient is φ = 31618944.

The previous prime is 105218317. The next prime is 105218387. The reversal of 105218334 is 433812501.

It is a happy number.

It is a super-2 number, since 2×105218334² = 22141795619471112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105218298 and 105218307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4834 + ... + 15290.

It is an arithmetic number, because the mean of its divisors is an integer number (5234229).

Almost surely, 2^105218334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105218334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125621496).

105218334 is an abundant number, since it is smaller than the sum of its proper divisors (146024658).

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

105218334 is a wasteful number, since it uses less digits than its factorization.

105218334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105218334 is about 10257.5988418343. The cubic root of 105218334 is about 472.0961662478.

The spelling of 105218334 in words is "one hundred five million, two hundred eighteen thousand, three hundred thirty-four".