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108122046885 = 3651710211709
BaseRepresentation
bin110010010110010010…
…0111000000110100101
3101100002012201002000000
41210230210320012211
53232413221000020
6121400502411513
710545236143326
oct1445444700645
9340065632000
10108122046885
1141944093146
1218b55a30b99
13a271415348
145339a1844d
152c2c2e2090
hex192c9381a5

108122046885 has 112 divisors (see below), whose sum is σ = 206296055280. Its totient is φ = 54188144640.

The previous prime is 108122046803. The next prime is 108122046887. The reversal of 108122046885 is 588640221801.

108122046885 is a `hidden beast` number, since 10 + 81 + 2 + 20 + 468 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 274830084 + 107847216801 = 16578^2 + 328401^2 .

It is not a de Polignac number, because 108122046885 - 222 = 108117852581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 108122046885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108122046887) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 63265411 + ... + 63267119.

It is an arithmetic number, because the mean of its divisors is an integer number (1841929065).

Almost surely, 2108122046885 is an apocalyptic number.

108122046885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108122046885 is a deficient number, since it is larger than the sum of its proper divisors (98174008395).

108122046885 is a wasteful number, since it uses less digits than its factorization.

108122046885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 108122046885 in words is "one hundred eight billion, one hundred twenty-two million, forty-six thousand, eight hundred eighty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 243 255 405 459 729 765 1021 1215 1377 1709 2295 3063 3645 4131 5105 5127 6885 8545 9189 12393 15315 15381 17357 20655 25635 27567 29053 45945 46143 52071 61965 76905 82701 86785 87159 137835 138429 145265 156213 230715 248103 260355 261477 413505 415287 435795 468639 692145 744309 781065 784431 1240515 1245861 1307385 1405917 1744889 2076435 2343195 2353293 3721545 3922155 4217751 5234667 6229305 7029585 7059879 8724445 11766465 12653253 15704001 21088755 21179637 26173335 29663113 35299395 47112003 63266265 78520005 88989339 105898185 141336009 148315565 235560015 266968017 424008027 444946695 706680045 800904051 1272024081 1334840085 2120040135 2402712153 4004520255 6360120405 7208136459 12013560765 21624409377 36040682295 108122046885