105334872 has 32 divisors (see below), whose sum is σ = 264076800. Its totient is φ = 35013024.

The previous prime is 105334837. The next prime is 105334891. The reversal of 105334872 is 278433501.

It is a super-2 number, since 2×105334872² = 22190870518512768, which contains 22 as substring.

It is a congruent number.

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, 2829 + ... + 14787.

It is an arithmetic number, because the mean of its divisors is an integer number (8252400).

Almost surely, 2^105334872 is an apocalyptic number.

105334872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105334872 is an abundant number, since it is smaller than the sum of its proper divisors (158741928).

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

105334872 is a wasteful number, since it uses less digits than its factorization.

105334872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335 (or 12331 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 105334872 is about 10263.2778389752. The cubic root of 105334872 is about 472.2703971110.

The spelling of 105334872 in words is "one hundred five million, three hundred thirty-four thousand, eight hundred seventy-two".