105214410 has 128 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 23837760.

The previous prime is 105214409. The next prime is 105214441. The reversal of 105214410 is 14412501.

It is a super-2 number, since 2×105214410² = 22140144143296200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 338155 + ... + 338465.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2^105214410 is an apocalyptic number.

105214410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105214410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

105214410 is an abundant number, since it is smaller than the sum of its proper divisors (218267190).

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

105214410 is a wasteful number, since it uses less digits than its factorization.

105214410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105214410 is about 10257.4075672170. The cubic root of 105214410 is about 472.0902974088.

Adding to 105214410 its reverse (14412501), we get a palindrome (119626911).

The spelling of 105214410 in words is "one hundred five million, two hundred fourteen thousand, four hundred ten".