105057396 has 18 divisors (see below), whose sum is σ = 265561842. Its totient is φ = 35019120.

The previous prime is 105057371. The next prime is 105057397. The reversal of 105057396 is 693750501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 104652900 + 404496 = 10230^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105057396² = 22074112908601632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2918261 = 105057396 / (1 + 0 + 5 + 0 + 5 + 7 + 3 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 105057396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105057397) 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 5 ways as a sum of consecutive naturals, for example, 1459095 + ... + 1459166.

Almost surely, 2^105057396 is an apocalyptic number.

It is an amenable number.

105057396 is an abundant number, since it is smaller than the sum of its proper divisors (160504446).

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

105057396 is a wasteful number, since it uses less digits than its factorization.

105057396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918271 (or 2918266 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 105057396 is about 10249.7510213663. The cubic root of 105057396 is about 471.8553432509.

The spelling of 105057396 in words is "one hundred five million, fifty-seven thousand, three hundred ninety-six".