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106542606888 = 233223411569203
BaseRepresentation
bin110001100111001101…
…1110010101000101000
3101012000010201012122100
41203032123302220220
53221144401410023
6120540041453400
710461140134104
oct1431633625050
9335003635570
10106542606888
1141203584533
1218794aa1260
13a07c12a873
145229d56904
152b88804c43
hex18ce6f2a28

106542606888 has 96 divisors (see below), whose sum is σ = 308442738240. Its totient is φ = 33141546240.

The previous prime is 106542606853. The next prime is 106542606899. The reversal of 106542606888 is 888606245601.

106542606888 is a `hidden beast` number, since 10 + 6 + 542 + 6 + 0 + 6 + 8 + 88 = 666.

It is a super-2 number, since 2×1065426068882 (a number of 23 digits) contains 22 as substring.

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, 716706 + ... + 852497.

It is an arithmetic number, because the mean of its divisors is an integer number (3212945190).

Almost surely, 2106542606888 is an apocalyptic number.

106542606888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106542606888 is an abundant number, since it is smaller than the sum of its proper divisors (201900131352).

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

106542606888 is a wasteful number, since it uses less digits than its factorization.

106542606888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569279 (or 1569272 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 106542606888 in words is "one hundred six billion, five hundred forty-two million, six hundred six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 41 46 69 72 82 92 123 138 164 184 207 246 276 328 369 414 492 552 738 828 943 984 1476 1656 1886 2829 2952 3772 5658 7544 8487 11316 16974 22632 33948 67896 1569203 3138406 4707609 6276812 9415218 12553624 14122827 18830436 28245654 36091669 37660872 56491308 64337323 72183338 108275007 112982616 128674646 144366676 193011969 216550014 257349292 288733352 324825021 386023938 433100028 514698584 579035907 649650042 772047876 866200056 1158071814 1299300084 1479758429 1544095752 2316143628 2598600168 2959516858 4439275287 4632287256 5919033716 8878550574 11838067432 13317825861 17757101148 26635651722 35514202296 53271303444 106542606888