101643144 has 64 divisors (see below), whose sum is σ = 270043200. Its totient is φ = 31820544.

The previous prime is 101643137. The next prime is 101643151. The reversal of 101643144 is 441346101.

It is an interprime number because it is at equal distance from previous prime (101643137) and next prime (101643151).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23779 + ... + 27725.

It is an arithmetic number, because the mean of its divisors is an integer number (4219425).

Almost surely, 2^101643144 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 101643144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135021600).

101643144 is an abundant number, since it is smaller than the sum of its proper divisors (168400056).

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

101643144 is a wasteful number, since it uses less digits than its factorization.

101643144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 101643144 is about 10081.8224542986. The cubic root of 101643144 is about 466.6873510106.

Adding to 101643144 its reverse (441346101), we get a palindrome (542989245).

The spelling of 101643144 in words is "one hundred one million, six hundred forty-three thousand, one hundred forty-four".