101534144 has 42 divisors (see below), whose sum is σ = 210693000. Its totient is φ = 48543616.

The previous prime is 101534141. The next prime is 101534159. The reversal of 101534144 is 441435101.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101534141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32357 + ... + 35355.

It is an arithmetic number, because the mean of its divisors is an integer number (5016500).

Almost surely, 2^101534144 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 101534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105346500).

101534144 is an abundant number, since it is smaller than the sum of its proper divisors (109158856).

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

101534144 is an equidigital number, since it uses as much as digits as its factorization.

101534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 101534144 is about 10076.4152355885. The cubic root of 101534144 is about 466.5204693969.

Adding to 101534144 its reverse (441435101), we get a palindrome (542969245).

The spelling of 101534144 in words is "one hundred one million, five hundred thirty-four thousand, one hundred forty-four".