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106061500062 = 23371012778079
BaseRepresentation
bin110001011000111000…
…0100000111010011110
3101010202121102110011000
41202301300200322132
53214203221000222
6120420214011130
710443205606230
oct1426160407236
9333677373130
10106061500062
1140a86a51891
121867b946aa6
13a00355c17b
1451c20bc250
152b5b46e9ac
hex18b1c20e9e

106061500062 has 64 divisors (see below), whose sum is σ = 272029593600. Its totient is φ = 30003242400.

The previous prime is 106061500057. The next prime is 106061500063. The reversal of 106061500062 is 260005160601.

It is a happy number.

106061500062 is a `hidden beast` number, since 1 + 0 + 606 + 1 + 50 + 0 + 0 + 6 + 2 = 666.

It is a super-2 number, since 2×1060615000622 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106061499999 and 106061500035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106061500063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350862 + ... + 1427217.

It is an arithmetic number, because the mean of its divisors is an integer number (4250462400).

Almost surely, 2106061500062 is an apocalyptic number.

106061500062 is an abundant number, since it is smaller than the sum of its proper divisors (165968093538).

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

106061500062 is a wasteful number, since it uses less digits than its factorization.

106061500062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778198 (or 2778192 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 106061500062 its reverse (260005160601), we get a palindrome (366066660663).

The spelling of 106061500062 in words is "one hundred six billion, sixty-one million, five hundred thousand, sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 707 909 1414 1818 2121 2727 4242 5454 6363 12726 19089 38178 2778079 5556158 8334237 16668474 19446553 25002711 38893106 50005422 58339659 75008133 116679318 150016266 175018977 280585979 350037954 525056931 561171958 841757937 1050113862 1683515874 1964101853 2525273811 3928203706 5050547622 5892305559 7575821433 11784611118 15151642866 17676916677 35353833354 53030750031 106061500062