108361229508900 has 135 divisors (see below), whose sum is σ = 351267333682881. Its totient is φ = 28896078036960.

The previous prime is 108361229508871. The next prime is 108361229508901. The reversal of 108361229508900 is 9805922163801.

The square root of 108361229508900 is 10409670.

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

108361229508900 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 6 + 122 + 9 + 508 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39010042623204 + 69351186885696 = 6245802^2 + 8327736^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (108361229508901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 936812469 + ... + 936928131.

Almost surely, 2^{108361229508900} is an apocalyptic number.

108361229508900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108361229508900 is the 10409670-th square number.

It is an amenable number.

108361229508900 is an abundant number, since it is smaller than the sum of its proper divisors (242906104173981).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108361229508900 is an frugal number, since it uses more digits than its factorization.

108361229508900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231352 (or 115673 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 108361229508900 in words is "one hundred eight trillion, three hundred sixty-one billion, two hundred twenty-nine million, five hundred eight thousand, nine hundred".