105455532 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 27631872.

The previous prime is 105455527. The next prime is 105455533. The reversal of 105455532 is 235554501.

It is a happy number.

It is a super-2 number, since 2×105455532² = 22241738458806048, 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 105455532.

It is not an unprimeable number, because it can be changed into a prime (105455533) 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, 293569 + ... + 293927.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^105455532 is an apocalyptic number.

105455532 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 105455532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

105455532 is an abundant number, since it is smaller than the sum of its proper divisors (199363668).

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

105455532 is a wasteful number, since it uses less digits than its factorization.

105455532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 105455532 is about 10269.1543955673. The cubic root of 105455532 is about 472.4506552428.

The spelling of 105455532 in words is "one hundred five million, four hundred fifty-five thousand, five hundred thirty-two".