101440145424 has 160 divisors (see below), whose sum is σ = 276758000640. Its totient is φ = 31979390976.

The previous prime is 101440145419. The next prime is 101440145447. The reversal of 101440145424 is 424541044101.

It is a junction number, because it is equal to n+sod(n) for n = 101440145391 and 101440145400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10255009 + ... + 10264895.

It is an arithmetic number, because the mean of its divisors is an integer number (1729737504).

Almost surely, 2^101440145424 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 101440145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138379000320).

101440145424 is an abundant number, since it is smaller than the sum of its proper divisors (175317855216).

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

101440145424 is a wasteful number, since it uses less digits than its factorization.

101440145424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10097 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 101440145424 its reverse (424541044101), we get a palindrome (525981189525).

The spelling of 101440145424 in words is "one hundred one billion, four hundred forty million, one hundred forty-five thousand, four hundred twenty-four".