105406416 has 120 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 33078528.

The previous prime is 105406397. The next prime is 105406421. The reversal of 105406416 is 614604501.

105406416 is a `hidden beast` number, since 10 + 5 + 4 + 0 + 641 + 6 = 666.

It is a super-2 number, since 2×105406416² = 22221025067930112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105406416.

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 23 ways as a sum of consecutive naturals, for example, 179275 + ... + 179861.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2^105406416 is an apocalyptic number.

105406416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

105406416 is an abundant number, since it is smaller than the sum of its proper divisors (207386064).

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

105406416 is a wasteful number, since it uses less digits than its factorization.

105406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

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

The square root of 105406416 is about 10266.7626835337. The cubic root of 105406416 is about 472.3772957599.

The spelling of 105406416 in words is "one hundred five million, four hundred six thousand, four hundred sixteen".