105333672 has 32 divisors (see below), whose sum is σ = 270453600. Its totient is φ = 34161984.

The previous prime is 105333661. The next prime is 105333677. The reversal of 105333672 is 276333501.

It is a super-2 number, since 2×105333672² = 22190364914007168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105333677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58422 + ... + 60197.

It is an arithmetic number, because the mean of its divisors is an integer number (8451675).

Almost surely, 2^105333672 is an apocalyptic number.

105333672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105333672 is an abundant number, since it is smaller than the sum of its proper divisors (165119928).

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

105333672 is a wasteful number, since it uses less digits than its factorization.

105333672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118665 (or 118661 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 105333672 is about 10263.2193779535. The cubic root of 105333672 is about 472.2686036985.

The spelling of 105333672 in words is "one hundred five million, three hundred thirty-three thousand, six hundred seventy-two".