105432480 has 144 divisors (see below), whose sum is σ = 362535264. Its totient is φ = 27901440.

The previous prime is 105432449. The next prime is 105432491. The reversal of 105432480 is 84234501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105432480² = 22232015677900800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303667 + ... + 304013.

It is an arithmetic number, because the mean of its divisors is an integer number (2517606).

Almost surely, 2^105432480 is an apocalyptic number.

105432480 is a gapful number since it is divisible by the number (10) 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 105432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181267632).

105432480 is an abundant number, since it is smaller than the sum of its proper divisors (257102784).

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

105432480 is a wasteful number, since it uses less digits than its factorization.

105432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105432480 is about 10268.0319438537. The cubic root of 105432480 is about 472.4162276948.

Adding to 105432480 its reverse (84234501), we get a palindrome (189666981).

The spelling of 105432480 in words is "one hundred five million, four hundred thirty-two thousand, four hundred eighty".