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106656655060 = 22531911188833
BaseRepresentation
bin110001101010100111…
…0110110011011010100
3101012022002022110022201
41203111032312123110
53221413100430220
6120555234134244
710464023416054
oct1432516663324
9335262273281
10106656655060
11412619a061a
1218807121384
13a09994c6a7
14523b163564
152b93831d0a
hex18d53b66d4

106656655060 has 48 divisors (see below), whose sum is σ = 231459121152. Its totient is φ = 41240908800.

The previous prime is 106656655057. The next prime is 106656655067. The reversal of 106656655060 is 60556656601.

It is a super-2 number, since 2×1066566550602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106656655060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106656655067) 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, 470404 + ... + 659236.

It is an arithmetic number, because the mean of its divisors is an integer number (4822065024).

Almost surely, 2106656655060 is an apocalyptic number.

106656655060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106656655060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115729560576).

106656655060 is an abundant number, since it is smaller than the sum of its proper divisors (124802466092).

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

106656655060 is a wasteful number, since it uses less digits than its factorization.

106656655060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189784 (or 189782 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 106656655060 in words is "one hundred six billion, six hundred fifty-six million, six hundred fifty-five thousand, sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 911 1822 3644 4555 9110 18220 28241 56482 112964 141205 188833 282410 377666 564820 755332 944165 1888330 3776660 5853823 11707646 23415292 29269115 58538230 117076460 172026863 344053726 688107452 860134315 1720268630 3440537260 5332832753 10665665506 21331331012 26664163765 53328327530 106656655060