105057405 has 24 divisors (see below), whose sum is σ = 188846112. Its totient is φ = 56029968.

The previous prime is 105057397. The next prime is 105057409. The reversal of 105057405 is 504750501.

It is not a de Polignac number, because 105057405 - 2³ = 105057397 is a prime.

It is a super-2 number, since 2×105057405² = 22074116690668050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105057409) 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 23 ways as a sum of consecutive naturals, for example, 42019 + ... + 44448.

It is an arithmetic number, because the mean of its divisors is an integer number (7868588).

Almost surely, 2^105057405 is an apocalyptic number.

105057405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105057405 is a deficient number, since it is larger than the sum of its proper divisors (83788707).

105057405 is an frugal number, since it uses more digits than its factorization.

105057405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86487 (or 86475 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 105057405 is about 10249.7514604014. The cubic root of 105057405 is about 471.8553567251.

The spelling of 105057405 in words is "one hundred five million, fifty-seven thousand, four hundred five".