105917328 has 160 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 31017600.

The previous prime is 105917311. The next prime is 105917341. The reversal of 105917328 is 823719501.

It is a super-2 number, since 2×105917328² = 22436960741319168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105917292 and 105917301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146953 + ... + 147671.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 2^105917328 is an apocalyptic number.

105917328 is a gapful number since it is divisible by the number (18) 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 105917328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

105917328 is an abundant number, since it is smaller than the sum of its proper divisors (236917872).

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

105917328 is a wasteful number, since it uses less digits than its factorization.

105917328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 105917328 is about 10291.6144506098. The cubic root of 105917328 is about 473.1392808113.

The spelling of 105917328 in words is "one hundred five million, nine hundred seventeen thousand, three hundred twenty-eight".