105473232 has 80 divisors (see below), whose sum is σ = 313224000. Its totient is φ = 33941376.

The previous prime is 105473201. The next prime is 105473299. The reversal of 105473232 is 232374501.

It is a super-2 number, since 2×105473232² = 22249205337051648, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105473196 and 105473205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8319 + ... + 16737.

It is an arithmetic number, because the mean of its divisors is an integer number (3915300).

Almost surely, 2^105473232 is an apocalyptic number.

105473232 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 105473232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156612000).

105473232 is an abundant number, since it is smaller than the sum of its proper divisors (207750768).

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

105473232 is a wasteful number, since it uses less digits than its factorization.

105473232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8465 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 105473232 is about 10270.0161635705. The cubic root of 105473232 is about 472.4770863164.

The spelling of 105473232 in words is "one hundred five million, four hundred seventy-three thousand, two hundred thirty-two".