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106317287088 = 24317359362927
BaseRepresentation
bin110001100000100000…
…0010000111010110000
3101011102102201202222120
41203001000100322300
53220214211141323
6120501432234240
710452433013055
oct1430100207260
9334372652876
10106317287088
11410a8378421
121873153b980
13a04454993c
14520806302c
152b73b485e3
hex18c1010eb0

106317287088 has 80 divisors (see below), whose sum is σ = 291619906560. Its totient is φ = 33261442048.

The previous prime is 106317287081. The next prime is 106317287093. The reversal of 106317287088 is 880782713601.

It is a super-2 number, since 2×1063172870882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 106317287088.

It is not an unprimeable number, because it can be changed into a prime (106317287081) 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, 111481 + ... + 474407.

It is an arithmetic number, because the mean of its divisors is an integer number (3645248832).

Almost surely, 2106317287088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106317287088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145809953280).

106317287088 is an abundant number, since it is smaller than the sum of its proper divisors (185302619472).

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

106317287088 is a wasteful number, since it uses less digits than its factorization.

106317287088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363314 (or 363308 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 106317287088 in words is "one hundred six billion, three hundred seventeen million, two hundred eighty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 359 408 718 816 1077 1436 2154 2872 4308 5744 6103 8616 12206 17232 18309 24412 36618 48824 73236 97648 146472 292944 362927 725854 1088781 1451708 2177562 2903416 4355124 5806832 6169759 8710248 12339518 17420496 18509277 24679036 37018554 49358072 74037108 98716144 130290793 148074216 260581586 296148432 390872379 521163172 781744758 1042326344 1563489516 2084652688 2214943481 3126979032 4429886962 6253958064 6644830443 8859773924 13289660886 17719547848 26579321772 35439095696 53158643544 106317287088