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108680330889 = 321327921072
BaseRepresentation
bin110010100110111011…
…0100011111010001001
3101101112010012211200100
41211031312203322021
53240034131042024
6121532124400013
710565125366434
oct1451566437211
9341463184610
10108680330889
1142100239189
12190909a6009
13a32cc96300
14538dc2281b
152c6131e7c9
hex194dda3e89

108680330889 has 81 divisors (see below), whose sum is σ = 173790225063. Its totient is φ = 65416482144.

The previous prime is 108680330881. The next prime is 108680330903. The reversal of 108680330889 is 988033086801.

It is a happy number.

The square root of 108680330889 is 329667.

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

It can be written as a sum of positive squares in only one way, i.e., 16076972025 + 92603358864 = 126795^2 + 304308^2 .

It is not a de Polignac number, because 108680330889 - 23 = 108680330881 is a prime.

It is a super-2 number, since 2×1086803308892 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108680330881) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1015703974 + ... + 1015704080.

Almost surely, 2108680330889 is an apocalyptic number.

108680330889 is the 329667-th square number.

108680330889 is the 164834-th centered octagonal number.

It is an amenable number.

108680330889 is a deficient number, since it is larger than the sum of its proper divisors (65109894174).

108680330889 is an equidigital number, since it uses as much as digits as its factorization.

108680330889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

It can be divided in two parts, 108680 and 330889, that added together give a square (439569 = 6632).

The spelling of 108680330889 in words is "one hundred eight billion, six hundred eighty million, three hundred thirty thousand, eight hundred eighty-nine".

Divisors: 1 3 9 13 39 79 107 117 169 237 321 507 711 963 1027 1391 1521 3081 4173 6241 8453 9243 11449 12519 13351 18083 18723 25359 34347 40053 54249 56169 76077 81133 103041 109889 120159 148837 162747 243399 329667 446511 667787 730197 904471 989001 1054729 1339533 1428557 1934881 2003361 2713413 3164187 4285671 5804643 6010083 8140239 8681231 9492561 11758123 12857013 17413929 26043693 35274369 71453209 78131079 105823107 112856003 152855599 214359627 338568009 458566797 643078881 928891717 1015704027 1375700391 2786675151 8360025453 12075592321 36226776963 108680330889