105132384 has 96 divisors (see below), whose sum is σ = 350461440. Its totient is φ = 30036096.

The previous prime is 105132367. The next prime is 105132389. The reversal of 105132384 is 483231501.

It is a happy number.

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

It is a super-2 number, since 2×105132384² = 22105636331046912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105132389) 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, 2644 + ... + 14739.

It is an arithmetic number, because the mean of its divisors is an integer number (3650640).

Almost surely, 2^105132384 is an apocalyptic number.

105132384 is a gapful number since it is divisible by the number (14) 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 105132384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175230720).

105132384 is an abundant number, since it is smaller than the sum of its proper divisors (245329056).

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

105132384 is a wasteful number, since it uses less digits than its factorization.

105132384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17409 (or 17395 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105132384 is about 10253.4084089146. The cubic root of 105132384 is about 471.9675837165.

Adding to 105132384 its reverse (483231501), we get a palindrome (588363885).

The spelling of 105132384 in words is "one hundred five million, one hundred thirty-two thousand, three hundred eighty-four".