105558464 has 84 divisors (see below), whose sum is σ = 236338872. Its totient is φ = 46717440.

The previous prime is 105558461. The next prime is 105558473. The reversal of 105558464 is 464855501.

It is a happy number.

It is a super-2 number, since 2×105558464² = 22285178644078592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105558461) 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 11 ways as a sum of consecutive naturals, for example, 332834 + ... + 333150.

It is an arithmetic number, because the mean of its divisors is an integer number (2813558).

Almost surely, 2^105558464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105558464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118169436).

105558464 is an abundant number, since it is smaller than the sum of its proper divisors (130780408).

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

105558464 is a wasteful number, since it uses less digits than its factorization.

105558464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The square root of 105558464 is about 10274.1648809039. The cubic root of 105558464 is about 472.6043202562.

The spelling of 105558464 in words is "one hundred five million, five hundred fifty-eight thousand, four hundred sixty-four".