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106010500008 = 23372521173023
BaseRepresentation
bin110001010111010110…
…1111101101110101000
3101010122001110101020010
41202232231331232220
53214102142000013
6120411152531520
710442016245100
oct1425655755650
9333561411203
10106010500008
1140a60188786
1218666850ba0
139cc5b1381a
1451b9404200
152b56c487c3
hex18aeb7dba8

106010500008 has 96 divisors (see below), whose sum is σ = 308889365760. Its totient is φ = 30230403840.

The previous prime is 106010499997. The next prime is 106010500009. The reversal of 106010500008 is 800005010601.

It is a super-2 number, since 2×1060105000082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (106010500009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526185 + ... + 699207.

It is an arithmetic number, because the mean of its divisors is an integer number (3217597560).

Almost surely, 2106010500008 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 106010500008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154444682880).

106010500008 is an abundant number, since it is smaller than the sum of its proper divisors (202878865752).

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

106010500008 is a wasteful number, since it uses less digits than its factorization.

106010500008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173567 (or 173556 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 106010500008 its reverse (800005010601), we get a palindrome (906015510609).

The spelling of 106010500008 in words is "one hundred six billion, ten million, five hundred thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 521 588 1042 1176 1563 2084 3126 3647 4168 6252 7294 10941 12504 14588 21882 25529 29176 43764 51058 76587 87528 102116 153174 173023 204232 306348 346046 519069 612696 692092 1038138 1211161 1384184 2076276 2422322 3633483 4152552 4844644 7266966 8478127 9689288 14533932 16956254 25434381 29067864 33912508 50868762 67825016 90144983 101737524 180289966 203475048 270434949 360579932 540869898 631014881 721159864 1081739796 1262029762 1893044643 2163479592 2524059524 3786089286 4417104167 5048119048 7572178572 8834208334 13251312501 15144357144 17668416668 26502625002 35336833336 53005250004 106010500008