105255332 has 72 divisors (see below), whose sum is σ = 233606520. Its totient is φ = 41126400.

The previous prime is 105255329. The next prime is 105255349. The reversal of 105255332 is 233552501.

It can be written as a sum of positive squares in 4 ways, for example, as 47251876 + 58003456 = 6874^2 + 7616^2 .

It is a super-2 number, since 2×105255332² = 22157369828860448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 257144 + ... + 257552.

It is an arithmetic number, because the mean of its divisors is an integer number (3244535).

Almost surely, 2^105255332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105255332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116803260).

105255332 is an abundant number, since it is smaller than the sum of its proper divisors (128351188).

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

105255332 is a wasteful number, since it uses less digits than its factorization.

105255332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 105255332 is about 10259.4021268298. The cubic root of 105255332 is about 472.1514942704.

The spelling of 105255332 in words is "one hundred five million, two hundred fifty-five thousand, three hundred thirty-two".