105455328 has 96 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 31080960.

The previous prime is 105455327. The next prime is 105455351. The reversal of 105455328 is 823554501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105455328² = 22241652407175168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105455327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37723 + ... + 40421.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2^105455328 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 105455328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

105455328 is an abundant number, since it is smaller than the sum of its proper divisors (204807072).

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

105455328 is a wasteful number, since it uses less digits than its factorization.

105455328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 105455328 is about 10269.1444629044. The cubic root of 105455328 is about 472.4503505962.

The spelling of 105455328 in words is "one hundred five million, four hundred fifty-five thousand, three hundred twenty-eight".