101441731644 has 96 divisors (see below), whose sum is σ = 296161044480. Its totient is φ = 29748297600.

The previous prime is 101441731619. The next prime is 101441731693. The reversal of 101441731644 is 446137144101.

101441731644 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 1 + 7 + 3 + 1 + 644 = 666.

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 = 101441731599 and 101441731608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340409 + ... + 1414064.

It is an arithmetic number, because the mean of its divisors is an integer number (3085010880).

Almost surely, 2^101441731644 is an apocalyptic number.

It is an amenable number.

101441731644 is an abundant number, since it is smaller than the sum of its proper divisors (194719312836).

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

101441731644 is a wasteful number, since it uses less digits than its factorization.

101441731644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754528 (or 2754520 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 101441731644 its reverse (446137144101), we get a palindrome (547578875745).

The spelling of 101441731644 in words is "one hundred one billion, four hundred forty-one million, seven hundred thirty-one thousand, six hundred forty-four".