108243632016 has 675 divisors, whose sum is σ = 367974079011. Its totient is φ = 30700021248.

The previous prime is 108243631961. The next prime is 108243632023. The reversal of 108243632016 is 610236342801.

The square root of 108243632016 is 329004.

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

108243632016 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 4 + 3 + 632 + 0 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 449609616 + 107794022400 = 21204^2 + 328320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2925503550 + ... + 2925503586.

Almost surely, 2^108243632016 is an apocalyptic number.

108243632016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108243632016 is the 329004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108243632016

108243632016 is an abundant number, since it is smaller than the sum of its proper divisors (259730446995).

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

108243632016 is a wasteful number, since it uses less digits than its factorization.

108243632016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 108243632016 by its sum of digits (36), we get a square (3896770752576 = 1974024²).

108243632016 divided by its sum of digits (36) gives a square (3006767556 = 54834²).

Adding to 108243632016 its reverse (610236342801), we get a palindrome (718479974817).

The spelling of 108243632016 in words is "one hundred eight billion, two hundred forty-three million, six hundred thirty-two thousand, sixteen".