101041106325 has 24 divisors (see below), whose sum is σ = 167123368896. Its totient is φ = 53866416000.

The previous prime is 101041106323. The next prime is 101041106429. The reversal of 101041106325 is 523601140101.

It is a happy number.

It is not a de Polignac number, because 101041106325 - 2¹ = 101041106323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101041106295 and 101041106304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101041106321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92881 + ... + 459030.

It is an arithmetic number, because the mean of its divisors is an integer number (6963473704).

Almost surely, 2^101041106325 is an apocalyptic number.

101041106325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101041106325 is a deficient number, since it is larger than the sum of its proper divisors (66082262571).

101041106325 is a wasteful number, since it uses less digits than its factorization.

101041106325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554365 (or 554360 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 101041106325 its reverse (523601140101), we get a palindrome (624642246426).

The spelling of 101041106325 in words is "one hundred one billion, forty-one million, one hundred six thousand, three hundred twenty-five".