105573432 has 64 divisors (see below), whose sum is σ = 275652000. Its totient is φ = 33661440.

The previous prime is 105573431. The next prime is 105573437. The reversal of 105573432 is 234375501.

It is a super-2 number, since 2×105573432² = 22291499088517248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105573432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105573431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53194 + ... + 55142.

Almost surely, 2^105573432 is an apocalyptic number.

105573432 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 105573432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137826000).

105573432 is an abundant number, since it is smaller than the sum of its proper divisors (170078568).

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

105573432 is a wasteful number, since it uses less digits than its factorization.

105573432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 105573432 is about 10274.8932841174. The cubic root of 105573432 is about 472.6266573475.

The spelling of 105573432 in words is "one hundred five million, five hundred seventy-three thousand, four hundred thirty-two".