106720288 has 24 divisors (see below), whose sum is σ = 222465852. Its totient is φ = 50221056.

The previous prime is 106720277. The next prime is 106720303. The reversal of 106720288 is 882027601.

It can be written as a sum of positive squares in 2 ways, for example, as 104611984 + 2108304 = 10228^2 + 1452^2 .

It is a super-2 number, since 2×106720288² = 22778439741605888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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, 97545 + ... + 98632.

Almost surely, 2^106720288 is an apocalyptic number.

It is an amenable number.

106720288 is an abundant number, since it is smaller than the sum of its proper divisors (115745564).

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

106720288 is a wasteful number, since it uses less digits than its factorization.

106720288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196204 (or 196196 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 106720288 is about 10330.5511953622. The cubic root of 106720288 is about 474.3318961867.

Adding to 106720288 its reverse (882027601), we get a palindrome (988747889).

The spelling of 106720288 in words is "one hundred six million, seven hundred twenty thousand, two hundred eighty-eight".