105268413 has 8 divisors (see below), whose sum is σ = 141064000. Its totient is φ = 69825888.

The previous prime is 105268381. The next prime is 105268451. The reversal of 105268413 is 314862501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105268413 - 2⁵ = 105268381 is a prime.

It is a super-2 number, since 2×105268413² = 22162877551077138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105268013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 87568 + ... + 88761.

It is an arithmetic number, because the mean of its divisors is an integer number (17633000).

Almost surely, 2^105268413 is an apocalyptic number.

It is an amenable number.

105268413 is a deficient number, since it is larger than the sum of its proper divisors (35795587).

105268413 is a wasteful number, since it uses less digits than its factorization.

105268413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176531.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 105268413 is about 10260.0396198065. The cubic root of 105268413 is about 472.1710529244.

The spelling of 105268413 in words is "one hundred five million, two hundred sixty-eight thousand, four hundred thirteen".