105833672 has 64 divisors (see below), whose sum is σ = 238878720. Its totient is φ = 42977088.

The previous prime is 105833641. The next prime is 105833699. The reversal of 105833672 is 276338501.

It is a super-2 number, since 2×105833672² = 22401532258007168, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 163253 + ... + 163899.

It is an arithmetic number, because the mean of its divisors is an integer number (3732480).

Almost surely, 2^105833672 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 105833672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119439360).

105833672 is an abundant number, since it is smaller than the sum of its proper divisors (133045048).

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

105833672 is a wasteful number, since it uses less digits than its factorization.

105833672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 105833672 is about 10287.5493680468. The cubic root of 105833672 is about 473.0146824865.

The spelling of 105833672 in words is "one hundred five million, eight hundred thirty-three thousand, six hundred seventy-two".