108381154533129 has 9 divisors (see below), whose sum is σ = 156550601660583. Its totient is φ = 72254082200832.

The previous prime is 108381154533101. The next prime is 108381154533233. The reversal of 108381154533129 is 921335451183801.

It is a happy number.

The square root of 108381154533129 is 10410627.

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

108381154533129 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 81 + 1 + 5 + 4 + 533 + 1 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107059850262729 + 1321304270400 = 10346973^2 + 1149480^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 108381154533129 - 2⁵ = 108381154533097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (108381154534129) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 29496777 + ... + 32966985.

Almost surely, 2^{108381154533129} is an apocalyptic number.

108381154533129 is the 10410627-th square number.

108381154533129 is the 5205314-th centered octagonal number.

It is an amenable number.

108381154533129 is a deficient number, since it is larger than the sum of its proper divisors (48169447127454).

108381154533129 is an frugal number, since it uses more digits than its factorization.

108381154533129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940424 (or 3470212 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 108381154533129 in words is "one hundred eight trillion, three hundred eighty-one billion, one hundred fifty-four million, five hundred thirty-three thousand, one hundred twenty-nine".