105414150 has 48 divisors (see below), whose sum is σ = 264608064. Its totient is φ = 27768480.

The previous prime is 105414149. The next prime is 105414163. The reversal of 105414150 is 51414501.

It is a super-3 number, since 3×105414150³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8217 + ... + 16683.

It is an arithmetic number, because the mean of its divisors is an integer number (5512668).

Almost surely, 2^105414150 is an apocalyptic number.

105414150 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 105414150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132304032).

105414150 is an abundant number, since it is smaller than the sum of its proper divisors (159193914).

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

105414150 is a wasteful number, since it uses less digits than its factorization.

105414150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105414150 is about 10267.1393289465. The cubic root of 105414150 is about 472.3888487463.

Adding to 105414150 its reverse (51414501), we get a palindrome (156828651).

The spelling of 105414150 in words is "one hundred five million, four hundred fourteen thousand, one hundred fifty".