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106001565660 = 223253715916151
BaseRepresentation
bin110001010111000101…
…1111000011111011100
3101010121102122110121100
41202232023320133130
53214042400100120
6120410233233100
710441550304324
oct1425613703734
9333542573540
10106001565660
1140a56136221
1218663862790
139cc4006023
1451b815a284
152b56081490
hex18ae2f87dc

106001565660 has 72 divisors (see below), whose sum is σ = 330228321696. Its totient is φ = 27503107200.

The previous prime is 106001565653. The next prime is 106001565671. The reversal of 106001565660 is 66565100601.

It is a super-2 number, since 2×1060015656602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7951416 + ... + 7964735.

It is an arithmetic number, because the mean of its divisors is an integer number (4586504468).

Almost surely, 2106001565660 is an apocalyptic number.

106001565660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106001565660 is an abundant number, since it is smaller than the sum of its proper divisors (224226756036).

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

106001565660 is a wasteful number, since it uses less digits than its factorization.

106001565660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15916203 (or 15916198 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106001565660 in words is "one hundred six billion, one million, five hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 15916151 31832302 47748453 63664604 79580755 95496906 143245359 159161510 190993812 238742265 286490718 318323020 477484530 572981436 588897587 716226795 954969060 1177795174 1432453590 1766692761 2355590348 2864907180 2944487935 3533385522 5300078283 5888975870 7066771044 8833463805 10600156566 11777951740 17666927610 21200313132 26500391415 35333855220 53000782830 106001565660