101441664 has 96 divisors (see below), whose sum is σ = 294173100. Its totient is φ = 33552384.

The previous prime is 101441657. The next prime is 101441677. The reversal of 101441664 is 466144101.

It can be written as a sum of positive squares in 2 ways, for example, as 85377600 + 16064064 = 9240^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101441664² = 20580822390177792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199042 + ... + 199550.

Almost surely, 2^101441664 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 101441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147086550).

101441664 is an abundant number, since it is smaller than the sum of its proper divisors (192731436).

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

101441664 is a wasteful number, since it uses less digits than its factorization.

101441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 101441664 is about 10071.8252566255. The cubic root of 101441664 is about 466.3787866197.

Adding to 101441664 its reverse (466144101), we get a palindrome (567585765).

The spelling of 101441664 in words is "one hundred one million, four hundred forty-one thousand, six hundred sixty-four".