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106706707526120 = 23513234318757851
BaseRepresentation
bin11000010000110010010111…
…011001011011000111101000
3111222211001122220202002222012
4120100302113121123013220
5102441240314111313440
61014540215032415052
731322206454413622
oct3020622731330750
9458731586662865
10106706707526120
1131000073618939
12bb74584547488
134770526484630
141c4c8bca8bc12
15c50a46604e65
hex610c9765b1e8

106706707526120 has 64 divisors (see below), whose sum is σ = 258569624960640. Its totient is φ = 39397713696000.

The previous prime is 106706707526077. The next prime is 106706707526123. The reversal of 106706707526120 is 21625707607601.

It is a super-2 number, since 2×1067067075261202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106706707526123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7805195 + ... + 16563045.

It is an arithmetic number, because the mean of its divisors is an integer number (4040150390010).

Almost surely, 2106706707526120 is an apocalyptic number.

106706707526120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106706707526120 is an abundant number, since it is smaller than the sum of its proper divisors (151862917434520).

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

106706707526120 is a wasteful number, since it uses less digits than its factorization.

106706707526120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781306 (or 8781302 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 106706707526120 in words is "one hundred six trillion, seven hundred six billion, seven hundred seven million, five hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 23431 46862 93724 117155 187448 234310 304603 468620 609206 937240 1218412 1523015 2436824 3046030 6092060 8757851 12184120 17515702 35031404 43789255 70062808 87578510 113852063 175157020 227704126 350314040 455408252 569260315 910816504 1138520630 2277041260 4554082520 205205206781 410410413562 820820827124 1026026033905 1641641654248 2052052067810 2667667688153 4104104135620 5335335376306 8208208271240 10670670752612 13338338440765 21341341505224 26676676881530 53353353763060 106706707526120