105140288 has 42 divisors (see below), whose sum is σ = 229345998. Its totient is φ = 47787520.

The previous prime is 105140261. The next prime is 105140297. The reversal of 105140288 is 882041501.

It can be written as a sum of positive squares in only one way, i.e., 104203264 + 937024 = 10208^2 + 968^2 .

It is a super-2 number, since 2×105140288² = 22108960321445888, 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 105140288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 956 + ... + 14532.

It is an arithmetic number, because the mean of its divisors is an integer number (5460619).

Almost surely, 2^105140288 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 105140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114672999).

105140288 is an abundant number, since it is smaller than the sum of its proper divisors (124205710).

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

105140288 is a wasteful number, since it uses less digits than its factorization.

105140288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13611 (or 13590 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 105140288 is about 10253.7938344790. The cubic root of 105140288 is about 471.9794111483.

Adding to 105140288 its reverse (882041501), we get a palindrome (987181789).

The spelling of 105140288 in words is "one hundred five million, one hundred forty thousand, two hundred eighty-eight".