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106369820664 = 23325391745599
BaseRepresentation
bin110001100010000100…
…0101010011111111000
3101011120002120202111120
41203010020222133320
53220321133230124
6120510550225240
710453641362142
oct1430410523770
9334502522446
10106369820664
1141124a996a8
1218747055220
13a0523b12b3
145211019c92
152b78573d79
hex18c422a7f8

106369820664 has 32 divisors (see below), whose sum is σ = 266029440000. Its totient is φ = 35442621792.

The previous prime is 106369820659. The next prime is 106369820671. The reversal of 106369820664 is 466028963601.

It is a happy number.

It is a super-2 number, since 2×1063698206642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 811864 + ... + 933735.

It is an arithmetic number, because the mean of its divisors is an integer number (8313420000).

Almost surely, 2106369820664 is an apocalyptic number.

It is an amenable number.

106369820664 is an abundant number, since it is smaller than the sum of its proper divisors (159659619336).

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

106369820664 is a wasteful number, since it uses less digits than its factorization.

106369820664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748147 (or 1748143 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 106369820664 in words is "one hundred six billion, three hundred sixty-nine million, eight hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 2539 5078 7617 10156 15234 20312 30468 60936 1745599 3491198 5236797 6982396 10473594 13964792 20947188 41894376 4432075861 8864151722 13296227583 17728303444 26592455166 35456606888 53184910332 106369820664