108632529372249 has 15 divisors (see below), whose sum is σ = 162278363016847. Its totient is φ = 72421623712008.

The previous prime is 108632529372247. The next prime is 108632529372253. The reversal of 108632529372249 is 942273925236801.

The square root of 108632529372249 is 10422693.

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

108632529372249 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 3 + 252 + 9 + 372 + 2 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68356599518025 + 40275929854224 = 8267805^2 + 6346332^2 .

It is not a de Polignac number, because 108632529372249 - 2¹ = 108632529372247 is a prime.

It is a super-2 number, since 2×108632529372249² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108632529372247) 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 14 ways as a sum of consecutive naturals, for example, 93225199 + ... + 94383275.

It is a 1-persistent number, because it is pandigital, but 2⋅108632529372249 = 217265058744498 is not.

Almost surely, 2^{108632529372249} is an apocalyptic number.

108632529372249 is the 10422693-rd square number.

108632529372249 is the 5211347-th centered octagonal number.

It is an amenable number.

108632529372249 is a deficient number, since it is larger than the sum of its proper divisors (53645833644598).

108632529372249 is an frugal number, since it uses more digits than its factorization.

108632529372249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316166 (or 1158080 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 108632529372249 in words is "one hundred eight trillion, six hundred thirty-two billion, five hundred twenty-nine million, three hundred seventy-two thousand, two hundred forty-nine".