106116144 has 40 divisors (see below), whose sum is σ = 275369280. Its totient is φ = 35212608.

The previous prime is 106116139. The next prime is 106116151. The reversal of 106116144 is 441611601.

It is a super-2 number, since 2×106116144² = 22521272034857472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 6027 + ... + 15765.

It is an arithmetic number, because the mean of its divisors is an integer number (6884232).

Almost surely, 2^106116144 is an apocalyptic number.

It is an amenable number.

106116144 is an abundant number, since it is smaller than the sum of its proper divisors (169253136).

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

106116144 is a wasteful number, since it uses less digits than its factorization.

106116144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9977 (or 9971 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 106116144 is about 10301.2690480348. The cubic root of 106116144 is about 473.4351369116.

Adding to 106116144 its reverse (441611601), we get a palindrome (547727745).

It can be divided in two parts, 1061 and 16144, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 106116144 in words is "one hundred six million, one hundred sixteen thousand, one hundred forty-four".