105336672 has 120 divisors (see below), whose sum is σ = 323280216. Its totient is φ = 30030336.

The previous prime is 105336661. The next prime is 105336677. The reversal of 105336672 is 276633501.

It is a super-2 number, since 2×105336672² = 22191628936071168, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105336677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230268 + ... + 230724.

Almost surely, 2^105336672 is an apocalyptic number.

105336672 is a gapful number since it is divisible by the number (12) 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 105336672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161640108).

105336672 is an abundant number, since it is smaller than the sum of its proper divisors (217943544).

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

105336672 is an frugal number, since it uses more digits than its factorization.

105336672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 105336672 is about 10263.3655298835. The cubic root of 105336672 is about 472.2730872043.

It can be divided in two parts, 10533 and 6672, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 105336672 in words is "one hundred five million, three hundred thirty-six thousand, six hundred seventy-two".