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106405202622 = 2317291072271481
BaseRepresentation
bin110001100011000111…
…1101000101010111110
3101011122120011100102110
41203012033220222332
53220404212440442
6120514252434450
710454551204425
oct1430617505276
9334576140373
10106405202622
1141142a65694
1218756a78a26
13a05981bb74
1452159ca2bc
152b7b71269c
hex18c63e8abe

106405202622 has 128 divisors (see below), whose sum is σ = 236473136640. Its totient is φ = 31767572480.

The previous prime is 106405202609. The next prime is 106405202623. The reversal of 106405202622 is 226202504601.

It is a happy number.

It is a super-2 number, since 2×1064052026222 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106405202622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106405202623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71846122 + ... + 71847602.

It is an arithmetic number, because the mean of its divisors is an integer number (1847446380).

Almost surely, 2106405202622 is an apocalyptic number.

106405202622 is an abundant number, since it is smaller than the sum of its proper divisors (130067934018).

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

106405202622 is a wasteful number, since it uses less digits than its factorization.

106405202622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866.

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 106405202622 in words is "one hundred six billion, four hundred five million, two hundred two thousand, six hundred twenty-two".

Divisors: 1 2 3 6 17 29 34 51 58 87 102 107 174 214 227 321 454 493 642 681 986 1362 1479 1481 1819 2958 2962 3103 3638 3859 4443 5457 6206 6583 7718 8886 9309 10914 11577 13166 18618 19749 23154 24289 25177 39498 42949 48578 50354 52751 72867 75531 85898 105502 111911 128847 145734 151062 158253 158467 223822 257694 316506 316934 335733 336187 412913 475401 671466 672374 704381 730133 825826 950802 1008561 1238739 1408762 1460266 2017122 2113143 2190399 2477478 2693939 4226286 4380798 4595543 5387878 5715179 8081817 9191086 9749423 11430358 11974477 13786629 16163634 17145537 19498846 23948954 27573258 29248269 34291074 35923431 35972009 58496538 71846862 71944018 78124231 107916027 156248462 165740191 215832054 234372693 331480382 468745386 497220573 611524153 994441146 1043188261 1223048306 1834572459 2086376522 3129564783 3669144918 6259129566 17734200437 35468400874 53202601311 106405202622