108939757131241 has 15 divisors (see below), whose sum is σ = 112581444097815. Its totient is φ = 105415864615800.

The previous prime is 108939757131217. The next prime is 108939757131253. The reversal of 108939757131241 is 142131757939801.

It is a happy number.

The square root of 108939757131241 is 10437421.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42841881527641 + 66097875603600 = 6545371^2 + 8130060^2 .

It is not a de Polignac number, because 108939757131241 - 2³¹ = 108937609647593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 108939757131241.

It is not an unprimeable number, because it can be changed into a prime (108939757131281) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10030356151 + ... + 10030367011.

It is an arithmetic number, because the mean of its divisors is an integer number (7505429606521).

Almost surely, 2^{108939757131241} is an apocalyptic number.

108939757131241 is the 10437421-st square number.

108939757131241 is the 5218711-st centered octagonal number.

It is an amenable number.

108939757131241 is a deficient number, since it is larger than the sum of its proper divisors (3641686966574).

108939757131241 is an frugal number, since it uses more digits than its factorization.

108939757131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21846 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 61.

The spelling of 108939757131241 in words is "one hundred eight trillion, nine hundred thirty-nine billion, seven hundred fifty-seven million, one hundred thirty-one thousand, two hundred forty-one".