258106112 has 72 divisors (see below), whose sum is σ = 566694912. Its totient is φ = 116352000.

The previous prime is 258106103. The next prime is 258106153. The reversal of 258106112 is 211601852.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 424913 + ... + 425519.

Almost surely, 2^258106112 is an apocalyptic number.

258106112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283347456).

258106112 is an abundant number, since it is smaller than the sum of its proper divisors (308588800).

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

258106112 is a wasteful number, since it uses less digits than its factorization.

258106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 258106112 is about 16065.6811869276. The cubic root of 258106112 is about 636.6969404693.

Adding to 258106112 its reverse (211601852), we get a palindrome (469707964).

The spelling of 258106112 in words is "two hundred fifty-eight million, one hundred six thousand, one hundred twelve".