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100005550106 = 272111710135387
BaseRepresentation
bin101110100100011001…
…0111001100000011010
3100120010120002022120012
41131020302321200122
53114302410100411
6113535242001522
710140142102400
oct1351062714032
9316116068505
10100005550106
1139459586a70
121746b7a62a2
139579a03a27
144ba9aa7470
15290498418b
hex1748cb981a

100005550106 has 96 divisors (see below), whose sum is σ = 201797324352. Its totient is φ = 36628247040.

The previous prime is 100005550093. The next prime is 100005550121. The reversal of 100005550106 is 601055500001.

It is a super-2 number, since 2×1000055501062 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18561545 + ... + 18566931.

It is an arithmetic number, because the mean of its divisors is an integer number (2102055462).

Almost surely, 2100005550106 is an apocalyptic number.

100005550106 is an abundant number, since it is smaller than the sum of its proper divisors (101791774246).

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

100005550106 is a wasteful number, since it uses less digits than its factorization.

100005550106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 100005550106 in words is "one hundred billion, five million, five hundred fifty thousand, one hundred six".

Divisors: 1 2 7 11 14 17 22 34 49 77 98 119 154 187 238 374 539 833 1013 1078 1309 1666 2026 2618 5387 7091 9163 10774 11143 14182 17221 18326 22286 34442 37709 49637 59257 75418 78001 91579 99274 118514 120547 156002 183158 189431 241094 263963 378862 414799 527926 546007 641053 829598 843829 1007369 1092014 1282106 1326017 1687658 2014738 2652034 2903593 4487371 5457031 5807186 7051583 8974742 9282119 10914062 14103166 18564238 38199217 49361081 60027341 76398434 92769527 98722162 120054682 185539054 267394519 420191387 534789038 649386689 840382774 1020464797 1298773378 2040929594 2941339709 4545706823 5882679418 7143253579 9091413646 14286507158 50002775053 100005550106