105393057 has 96 divisors (see below), whose sum is σ = 194073600. Its totient is φ = 49610880.

The previous prime is 105393053. The next prime is 105393059. The reversal of 105393057 is 750393501.

It is not a de Polignac number, because 105393057 - 2² = 105393053 is a prime.

It is a super-2 number, since 2×105393057² = 22215392927610498, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105393053) 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 95 ways as a sum of consecutive naturals, for example, 1786294 + ... + 1786352.

It is an arithmetic number, because the mean of its divisors is an integer number (2021600).

Almost surely, 2^105393057 is an apocalyptic number.

It is an amenable number.

105393057 is a deficient number, since it is larger than the sum of its proper divisors (88680543).

105393057 is a wasteful number, since it uses less digits than its factorization.

105393057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 105393057 is about 10266.1120683538. The cubic root of 105393057 is about 472.3573388631.

The spelling of 105393057 in words is "one hundred five million, three hundred ninety-three thousand, fifty-seven".