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106310988 = 22337220089
BaseRepresentation
bin1100101011000…
…10110101001100
321102001011021000
412111202311030
5204203422423
614314340300
72430425400
oct625426514
9242034230
10106310988
1155012023
122b72a690
1319043214
1410195100
1594ee843
hex6562d4c

106310988 has 72 divisors (see below), whose sum is σ = 320636400. Its totient is φ = 30373056.

The previous prime is 106310969. The next prime is 106311001. The reversal of 106310988 is 889013601.

106310988 is a `hidden beast` number, since 10 + 631 + 0 + 9 + 8 + 8 = 666.

It is a super-2 number, since 2×1063109882 = 22604052339072288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4753 + ... + 15336.

Almost surely, 2106310988 is an apocalyptic number.

106310988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106310988 is an abundant number, since it is smaller than the sum of its proper divisors (214325412).

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

106310988 is a wasteful number, since it uses less digits than its factorization.

106310988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20116 (or 20101 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 106310988 is about 10310.7219921788. The cubic root of 106310988 is about 473.7247239968.

The spelling of 106310988 in words is "one hundred six million, three hundred ten thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 20089 40178 60267 80356 120534 140623 180801 241068 281246 361602 421869 542403 562492 723204 843738 984361 1084806 1265607 1687476 1968722 2169612 2531214 2953083 3796821 3937444 5062428 5906166 7593642 8859249 11812332 15187284 17718498 26577747 35436996 53155494 106310988