105932128 has 48 divisors (see below), whose sum is σ = 217168560. Its totient is φ = 50803200.

The previous prime is 105932119. The next prime is 105932129. The reversal of 105932128 is 821239501.

It is a super-2 number, since 2×105932128² = 22443231485216768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105932128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105932129) 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, 195538 + ... + 196078.

It is an arithmetic number, because the mean of its divisors is an integer number (4524345).

Almost surely, 2^105932128 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 105932128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108584280).

105932128 is an abundant number, since it is smaller than the sum of its proper divisors (111236432).

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

105932128 is a wasteful number, since it uses less digits than its factorization.

105932128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 105932128 is about 10292.3334574818. Note that the first 3 decimals coincide. The cubic root of 105932128 is about 473.1613172913.

It can be divided in two parts, 10593 and 2128, that added together give a palindrome (12721).

The spelling of 105932128 in words is "one hundred five million, nine hundred thirty-two thousand, one hundred twenty-eight".