101144406325 has 24 divisors (see below), whose sum is σ = 127816147368. Its totient is φ = 79369754880.

The previous prime is 101144406283. The next prime is 101144406347. The reversal of 101144406325 is 523604441101.

It can be written as a sum of positive squares in 12 ways, for example, as 30261733681 + 70882672644 = 173959^2 + 266238^2 .

It is not a de Polignac number, because 101144406325 - 2⁷ = 101144406197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 8470059 + ... + 8481991.

It is an arithmetic number, because the mean of its divisors is an integer number (5325672807).

Almost surely, 2^101144406325 is an apocalyptic number.

It is an amenable number.

101144406325 is a deficient number, since it is larger than the sum of its proper divisors (26671741043).

101144406325 is a wasteful number, since it uses less digits than its factorization.

101144406325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18393 (or 18388 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 101144406325 its reverse (523604441101), we get a palindrome (624748847426).

The spelling of 101144406325 in words is "one hundred one billion, one hundred forty-four million, four hundred six thousand, three hundred twenty-five".