105878912 has 32 divisors (see below), whose sum is σ = 211874400. Its totient is φ = 52702720.

The previous prime is 105878911. The next prime is 105878947. The reversal of 105878912 is 219878501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105878912² = 22420688012607488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105878912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105878911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28862 + ... + 32322.

It is an arithmetic number, because the mean of its divisors is an integer number (6621075).

Almost surely, 2^105878912 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 105878912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105937200).

105878912 is an abundant number, since it is smaller than the sum of its proper divisors (105995488).

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

105878912 is an equidigital number, since it uses as much as digits as its factorization.

105878912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 41.

The square root of 105878912 is about 10289.7479075048. The cubic root of 105878912 is about 473.0820716751.

The spelling of 105878912 in words is "one hundred five million, eight hundred seventy-eight thousand, nine hundred twelve".