105553272 has 128 divisors (see below), whose sum is σ = 315705600. Its totient is φ = 29030400.

The previous prime is 105553271. The next prime is 105553277. The reversal of 105553272 is 272355501.

It is a super-2 number, since 2×105553272² = 22282986459811968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105553271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129747 + ... + 130557.

It is an arithmetic number, because the mean of its divisors is an integer number (2466450).

Almost surely, 2^105553272 is an apocalyptic number.

105553272 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 105553272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157852800).

105553272 is an abundant number, since it is smaller than the sum of its proper divisors (210152328).

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

105553272 is a wasteful number, since it uses less digits than its factorization.

105553272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 105553272 is about 10273.9122051923. The cubic root of 105553272 is about 472.5965716217.

The spelling of 105553272 in words is "one hundred five million, five hundred fifty-three thousand, two hundred seventy-two".