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106561015600668 = 223421130316187903
BaseRepresentation
bin11000001110101010101011…
…011110110101011000011100
3111222022010121101200110101020
4120032222223132311120130
5102431343424443210133
61014345242121044140
731305531206445516
oct3016525336653034
9458263541613336
10106561015600668
1130a543002a2982
12bb502a4626650
13475c8785c0a15
141c4581b526bb6
15c4bd6ad520b3
hex60eaab7b561c

106561015600668 has 48 divisors (see below), whose sum is σ = 249424260857856. Its totient is φ = 35408769318720.

The previous prime is 106561015600651. The next prime is 106561015600687. The reversal of 106561015600668 is 866006510165601.

It is a super-2 number, since 2×1065610156006682 (a number of 29 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 106561015600668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1511196 + ... + 14676707.

It is an arithmetic number, because the mean of its divisors is an integer number (5196338767872).

Almost surely, 2106561015600668 is an apocalyptic number.

It is an amenable number.

106561015600668 is an abundant number, since it is smaller than the sum of its proper divisors (142863245257188).

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

106561015600668 is a wasteful number, since it uses less digits than its factorization.

106561015600668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16189634 (or 16189632 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 106561015600668 in words is "one hundred six trillion, five hundred sixty-one billion, fifteen million, six hundred thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 421 842 1263 1303 1684 2526 2606 3909 5052 5212 7818 15636 548563 1097126 1645689 2194252 3291378 6582756 16187903 32375806 48563709 64751612 97127418 194254836 6815107163 13630214326 20445321489 21092837609 27260428652 40890642978 42185675218 63278512827 81781285956 84371350436 126557025654 253114051308 8880084633389 17760169266778 26640253900167 35520338533556 53280507800334 106561015600668