108261398961 has 15 divisors (see below), whose sum is σ = 161728241961. Its totient is φ = 72172291788.

The previous prime is 108261398953. The next prime is 108261398969. The reversal of 108261398961 is 169893162801.

The square root of 108261398961 is 329031.

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

108261398961 is a `hidden beast` number, since 10 + 8 + 2 + 613 + 9 + 8 + 9 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (108261398953) and next prime (108261398969).

It is not a de Polignac number, because 108261398961 - 2³ = 108261398953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 108261398898 and 108261398907.

It is not an unprimeable number, because it can be changed into a prime (108261398969) 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 14 ways as a sum of consecutive naturals, for example, 2943000 + ... + 2979558.

Almost surely, 2^108261398961 is an apocalyptic number.

108261398961 is the 329031-st square number.

108261398961 is the 164516-th centered octagonal number.

It is an amenable number.

108261398961 is a deficient number, since it is larger than the sum of its proper divisors (53466843000).

108261398961 is an frugal number, since it uses more digits than its factorization.

108261398961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73130 (or 36562 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 108261398961 in words is "one hundred eight billion, two hundred sixty-one million, three hundred ninety-eight thousand, nine hundred sixty-one".