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105100661016 = 233213611840771
BaseRepresentation
bin110000111100001111…
…1001101000100011000
3101001021122102202202200
41201320133031010120
53210221232123031
6120141011530200
710410330610221
oct1417037150430
9331248382680
10105100661016
114063364622a
1218451bb9960
139bac483960
145130646248
152b01e268e6
hex18787cd118

105100661016 has 96 divisors (see below), whose sum is σ = 311569068720. Its totient is φ = 31808505600.

The previous prime is 105100660999. The next prime is 105100661051. The reversal of 105100661016 is 610166001501.

It is a super-2 number, since 2×1051006610162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 863290 + ... + 977481.

Almost surely, 2105100661016 is an apocalyptic number.

It is an amenable number.

105100661016 is an abundant number, since it is smaller than the sum of its proper divisors (206468407704).

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

105100661016 is a wasteful number, since it uses less digits than its factorization.

105100661016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840857 (or 1840850 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 105100661016 its reverse (610166001501), we get a palindrome (715266662517).

The spelling of 105100661016 in words is "one hundred five billion, one hundred million, six hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1586 2196 2379 3172 4392 4758 6344 7137 9516 14274 19032 28548 57096 1840771 3681542 5522313 7363084 11044626 14726168 16566939 22089252 23930023 33133878 44178504 47860046 66267756 71790069 95720092 112287031 132535512 143580138 191440184 215370207 224574062 287160276 336861093 430740414 449148124 574320552 673722186 861480828 898296248 1010583279 1347444372 1459731403 1722961656 2021166558 2694888744 2919462806 4042333116 4379194209 5838925612 8084666232 8758388418 11677851224 13137582627 17516776836 26275165254 35033553672 52550330508 105100661016