101440144 has 80 divisors (see below), whose sum is σ = 223110720. Its totient is φ = 44352000.

The previous prime is 101440123. The next prime is 101440159. The reversal of 101440144 is 441044101.

101440144 = T₂₂₉ + T₂₃₀ + ... + T₈₅₂.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404019 + ... + 404269.

It is an arithmetic number, because the mean of its divisors is an integer number (2788884).

Almost surely, 2^101440144 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 101440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111555360).

101440144 is an abundant number, since it is smaller than the sum of its proper divisors (121670576).

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

101440144 is a wasteful number, since it uses less digits than its factorization.

101440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 101440144 is about 10071.7497983220. The cubic root of 101440144 is about 466.3764572044.

Adding to 101440144 its reverse (441044101), we get a palindrome (542484245).

It can be divided in two parts, 1014401 and 44, that multiplied together give a palindrome (44633644).

The spelling of 101440144 in words is "one hundred one million, four hundred forty thousand, one hundred forty-four".