105482832 has 320 divisors, whose sum is σ = 373309440. Its totient is φ = 24883200.

The previous prime is 105482809. The next prime is 105482837. The reversal of 105482832 is 238284501.

It is a super-2 number, since 2×105482832² = 22253255693480448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105482793 and 105482802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105482837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2572732 + ... + 2572772.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^105482832 is an apocalyptic number.

105482832 is a gapful number since it is divisible by the number (12) 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 105482832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186654720).

105482832 is an abundant number, since it is smaller than the sum of its proper divisors (267826608).

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

105482832 is a wasteful number, since it uses less digits than its factorization.

105482832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 105482832 is about 10270.4835329209. The cubic root of 105482832 is about 472.4914205771.

The spelling of 105482832 in words is "one hundred five million, four hundred eighty-two thousand, eight hundred thirty-two".