106258593 has 32 divisors (see below), whose sum is σ = 167086080. Its totient is φ = 58803840.

The previous prime is 106258577. The next prime is 106258627. The reversal of 106258593 is 395852601.

It is not a de Polignac number, because 106258593 - 2⁴ = 106258577 is a prime.

It is a super-2 number, since 2×106258593² = 22581777172679298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106258193) 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 31 ways as a sum of consecutive naturals, for example, 143418 + ... + 144156.

It is an arithmetic number, because the mean of its divisors is an integer number (5221440).

Almost surely, 2^106258593 is an apocalyptic number.

It is an amenable number.

106258593 is a deficient number, since it is larger than the sum of its proper divisors (60827487).

106258593 is a wasteful number, since it uses less digits than its factorization.

106258593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957.

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 106258593 is about 10308.1808773420. The cubic root of 106258593 is about 473.6468866816.

The spelling of 106258593 in words is "one hundred six million, two hundred fifty-eight thousand, five hundred ninety-three".