105598328 has 48 divisors (see below), whose sum is σ = 220154760. Its totient is φ = 47088000.

The previous prime is 105598319. The next prime is 105598343. The reversal of 105598328 is 823895501.

It is a super-2 number, since 2×105598328² = 22302013752791168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 968738 + ... + 968846.

Almost surely, 2^105598328 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 105598328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110077380).

105598328 is an abundant number, since it is smaller than the sum of its proper divisors (114556432).

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

105598328 is a wasteful number, since it uses less digits than its factorization.

105598328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 105598328 is about 10276.1047094704. The cubic root of 105598328 is about 472.6638055461.

The spelling of 105598328 in words is "one hundred five million, five hundred ninety-eight thousand, three hundred twenty-eight".