101040656544 has 144 divisors (see below), whose sum is σ = 307191673152. Its totient is φ = 31391115264.

The previous prime is 101040656531. The next prime is 101040656551. The reversal of 101040656544 is 445656040101.

101040656544 is a `hidden beast` number, since 1 + 0 + 10 + 40 + 6 + 565 + 44 = 666.

101040656544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101040656499 and 101040656508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404107 + ... + 604469.

It is an arithmetic number, because the mean of its divisors is an integer number (2133275508).

Almost surely, 2^101040656544 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 101040656544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153595836576).

101040656544 is an abundant number, since it is smaller than the sum of its proper divisors (206151016608).

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

101040656544 is a wasteful number, since it uses less digits than its factorization.

101040656544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200499 (or 200488 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 101040656544 its reverse (445656040101), we get a palindrome (546696696645).

The spelling of 101040656544 in words is "one hundred one billion, forty million, six hundred fifty-six thousand, five hundred forty-four".