105409410 has 32 divisors (see below), whose sum is σ = 253376640. Its totient is φ = 28065408.

The previous prime is 105409361. The next prime is 105409417. The reversal of 105409410 is 14904501.

It is a super-2 number, since 2×105409410² = 22222287433096200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105409417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19926 + ... + 24654.

It is an arithmetic number, because the mean of its divisors is an integer number (7918020).

Almost surely, 2^105409410 is an apocalyptic number.

105409410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105409410 is an abundant number, since it is smaller than the sum of its proper divisors (147967230).

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

105409410 is a wasteful number, since it uses less digits than its factorization.

105409410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105409410 is about 10266.9084928229. The cubic root of 105409410 is about 472.3817682398.

The spelling of 105409410 in words is "one hundred five million, four hundred nine thousand, four hundred ten".