106664544 has 144 divisors (see below), whose sum is σ = 349903008. Its totient is φ = 30191616.

The previous prime is 106664531. The next prime is 106664549. The reversal of 106664544 is 445466601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106664544² = 22754649893455872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106664499 and 106664508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106664549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316344 + ... + 316680.

It is an arithmetic number, because the mean of its divisors is an integer number (2429882).

Almost surely, 2^106664544 is an apocalyptic number.

106664544 is a gapful number since it is divisible by the number (14) 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 106664544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174951504).

106664544 is an abundant number, since it is smaller than the sum of its proper divisors (243238464).

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

106664544 is a wasteful number, since it uses less digits than its factorization.

106664544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 106664544 is about 10327.8528262171. The cubic root of 106664544 is about 474.2492947033.

The spelling of 106664544 in words is "one hundred six million, six hundred sixty-four thousand, five hundred forty-four".