106445664 has 180 divisors, whose sum is σ = 340382196. Its totient is φ = 32752512.

The previous prime is 106445663. The next prime is 106445681. The reversal of 106445664 is 466544601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106445664 is a `hidden beast` number, since 1 + 0 + 644 + 5 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×106445664² = 22661358768801792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106445663) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8188122 + ... + 8188134.

Almost surely, 2^106445664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170191098).

106445664 is an abundant number, since it is smaller than the sum of its proper divisors (233936532).

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

106445664 is an frugal number, since it uses more digits than its factorization.

106445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 18 counting only the distinct ones).

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

The square root of 106445664 is about 10317.2507966027. The cubic root of 106445664 is about 473.9246795878.

The spelling of 106445664 in words is "one hundred six million, four hundred forty-five thousand, six hundred sixty-four".