106160288 has 24 divisors (see below), whose sum is σ = 225081108. Its totient is φ = 48996864.

The previous prime is 106160281. The next prime is 106160321. The reversal of 106160288 is 882061601.

It can be written as a sum of positive squares in 2 ways, for example, as 105103504 + 1056784 = 10252^2 + 1028^2 .

It is a super-2 number, since 2×106160288² = 22540013496485888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (106160281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127181 + ... + 128012.

Almost surely, 2^106160288 is an apocalyptic number.

It is an amenable number.

106160288 is an abundant number, since it is smaller than the sum of its proper divisors (118920820).

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

106160288 is a wasteful number, since it uses less digits than its factorization.

106160288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255216 (or 255208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 106160288 is about 10303.4114738760. The cubic root of 106160288 is about 473.5007770129.

The spelling of 106160288 in words is "one hundred six million, one hundred sixty thousand, two hundred eighty-eight".