105309288 has 192 divisors, whose sum is σ = 356611200. Its totient is φ = 28200960.

The previous prime is 105309233. The next prime is 105309299. The reversal of 105309288 is 882903501.

It is a super-2 number, since 2×105309288² = 22180092278133888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436848 + ... + 437088.

It is an arithmetic number, because the mean of its divisors is an integer number (1857350).

Almost surely, 2^105309288 is an apocalyptic number.

105309288 is a gapful number since it is divisible by the number (18) 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 105309288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178305600).

105309288 is an abundant number, since it is smaller than the sum of its proper divisors (251301912).

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

105309288 is a wasteful number, since it uses less digits than its factorization.

105309288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 105309288 is about 10262.0313778511. The cubic root of 105309288 is about 472.2321586057.

The spelling of 105309288 in words is "one hundred five million, three hundred nine thousand, two hundred eighty-eight".