106044640 has 96 divisors (see below), whose sum is σ = 285768000. Its totient is φ = 36839424.

The previous prime is 106044637. The next prime is 106044649. The reversal of 106044640 is 46440601.

It is a super-2 number, since 2×106044640² = 22490931345459200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106044649) 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 15 ways as a sum of consecutive naturals, for example, 33861 + ... + 36859.

It is an arithmetic number, because the mean of its divisors is an integer number (2976750).

Almost surely, 2^106044640 is an apocalyptic number.

106044640 is a gapful number since it is divisible by the number (10) 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 106044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142884000).

106044640 is an abundant number, since it is smaller than the sum of its proper divisors (179723360).

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

106044640 is a wasteful number, since it uses less digits than its factorization.

106044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 106044640 is about 10297.7978228357. The cubic root of 106044640 is about 473.3287751109.

The spelling of 106044640 in words is "one hundred six million, forty-four thousand, six hundred forty".