105175872 has 168 divisors, whose sum is σ = 333792576. Its totient is φ = 31494144.

The previous prime is 105175831. The next prime is 105175877. The reversal of 105175872 is 278571501.

It is a super-2 number, since 2×105175872² = 22123928101920768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105175877) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 224983 + ... + 225449.

Almost surely, 2^105175872 is an apocalyptic number.

105175872 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 105175872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166896288).

105175872 is an abundant number, since it is smaller than the sum of its proper divisors (228616704).

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

105175872 is a wasteful number, since it uses less digits than its factorization.

105175872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 105175872 is about 10255.5288503324. The cubic root of 105175872 is about 472.0326511933.

The spelling of 105175872 in words is "one hundred five million, one hundred seventy-five thousand, eight hundred seventy-two".