105398112 has 24 divisors (see below), whose sum is σ = 276670296. Its totient is φ = 35132672.

The previous prime is 105398107. The next prime is 105398123. The reversal of 105398112 is 211893501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105398112² = 22217524026329088, 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 105398112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548853 + ... + 549044.

It is an arithmetic number, because the mean of its divisors is an integer number (11527929).

Almost surely, 2^105398112 is an apocalyptic number.

105398112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105398112 is an abundant number, since it is smaller than the sum of its proper divisors (171272184).

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

105398112 is a wasteful number, since it uses less digits than its factorization.

105398112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097910 (or 1097902 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 105398112 is about 10266.3582637662. The cubic root of 105398112 is about 472.3648906831.

The spelling of 105398112 in words is "one hundred five million, three hundred ninety-eight thousand, one hundred twelve".