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106357711005 = 325713151117189
BaseRepresentation
bin110001100001101101…
…0011110000010011101
3101011112020210112011200
41203003122132002131
53220310033223010
6120505434510113
710453433425050
oct1430332360235
9334466715150
10106357711005
1141119178517
1218742b95339
13a04ca31410
14520d586a97
152b77480cc0
hex18c369e09d

106357711005 has 96 divisors (see below), whose sum is σ = 227059822080. Its totient is φ = 44848304640.

The previous prime is 106357711001. The next prime is 106357711021. The reversal of 106357711005 is 500117753601.

106357711005 is a `hidden beast` number, since 1 + 0 + 635 + 7 + 7 + 1 + 10 + 0 + 5 = 666.

It is not a de Polignac number, because 106357711005 - 22 = 106357711001 is a prime.

It is a super-2 number, since 2×1063577110052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106357711001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6178951 + ... + 6196139.

It is an arithmetic number, because the mean of its divisors is an integer number (2365206480).

Almost surely, 2106357711005 is an apocalyptic number.

106357711005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106357711005 is an abundant number, since it is smaller than the sum of its proper divisors (120702111075).

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

106357711005 is a wasteful number, since it uses less digits than its factorization.

106357711005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18731 (or 18728 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The spelling of 106357711005 in words is "one hundred six billion, three hundred fifty-seven million, seven hundred eleven thousand, five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 1511 4095 4533 7555 10577 13599 17189 19643 22665 31731 51567 52885 58929 67995 85945 95193 98215 120323 137501 154701 158655 176787 223457 257835 294645 360969 412503 475965 601615 670371 687505 773505 883935 1082907 1117285 1237509 1564199 1804845 2011113 2062515 3351855 4692597 5414535 6187545 7820995 10055565 14077791 23462985 25972579 70388955 77917737 129862895 181808053 233753211 337643527 389588685 545424159 909040265 1012930581 1168766055 1636272477 1688217635 2363504689 2727120795 3038791743 5064652905 7090514067 8181362385 11817523445 15193958715 21271542201 35452570335 106357711005