105075872 has 48 divisors (see below), whose sum is σ = 226800000. Its totient is φ = 47523840.

The previous prime is 105075857. The next prime is 105075889. The reversal of 105075872 is 278570501.

It is a super-2 number, since 2×105075872² = 22081877753120768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83504 + ... + 84752.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2^105075872 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 105075872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400000).

105075872 is an abundant number, since it is smaller than the sum of its proper divisors (121724128).

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

105075872 is a wasteful number, since it uses less digits than its factorization.

105075872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The square root of 105075872 is about 10250.6522719288. The cubic root of 105075872 is about 471.8830026975.

The spelling of 105075872 in words is "one hundred five million, seventy-five thousand, eight hundred seventy-two".