108834677652996 has 405 divisors, whose sum is σ = 301430451431109. Its totient is φ = 34239591606528.

The previous prime is 108834677652949. The next prime is 108834677653043. The reversal of 108834677652996 is 699256776438801.

The square root of 108834677652996 is 10432386.

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

108834677652996 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 3 + 467 + 7 + 65 + 2 + 9 + 96 = 666.

108834677652996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (108834677652949) and next prime (108834677653043).

It can be written as a sum of positive squares in only one way, i.e., 1917754128900 + 106916923524096 = 1384830^2 + 10340064^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 488047881741 + ... + 488047881963.

It is a 1-persistent number, because it is pandigital, but 2⋅108834677652996 = 217669355305992 is not.

Almost surely, 2^{108834677652996} is an apocalyptic number.

108834677652996 is the 10432386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108834677652996

108834677652996 is an abundant number, since it is smaller than the sum of its proper divisors (192595773778113).

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

108834677652996 is an equidigital number, since it uses as much as digits as its factorization.

108834677652996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 81.

108834677652996 divided by its sum of digits (81) gives a square (1343637995716 = 1159154²).

The spelling of 108834677652996 in words is "one hundred eight trillion, eight hundred thirty-four billion, six hundred seventy-seven million, six hundred fifty-two thousand, nine hundred ninety-six".