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106501565655 = 32519571120929
BaseRepresentation
bin110001100101111111…
…1001110110011010111
3101011220021111002122200
41203023333032303113
53221103400100110
6120532014055543
710460131241262
oct1431377166327
9334807432580
10106501565655
11411923a2661
12187831aa5b3
13a07378b104
145224711cd9
152b84de96c0
hex18cbfcecd7

106501565655 has 24 divisors (see below), whose sum is σ = 184613672880. Its totient is φ = 56797463040.

The previous prime is 106501565633. The next prime is 106501565657. The reversal of 106501565655 is 556565105601.

106501565655 is a `hidden beast` number, since 10 + 65 + 0 + 15 + 6 + 565 + 5 = 666.

It is not a de Polignac number, because 106501565655 - 212 = 106501561559 is a prime.

It is a super-2 number, since 2×1065015656552 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106501565655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106501565657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820231 + ... + 941159.

It is an arithmetic number, because the mean of its divisors is an integer number (7692236370).

Almost surely, 2106501565655 is an apocalyptic number.

106501565655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106501565655 is a deficient number, since it is larger than the sum of its proper divisors (78112107225).

106501565655 is a wasteful number, since it uses less digits than its factorization.

106501565655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140511 (or 140508 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 106501565655 in words is "one hundred six billion, five hundred one million, five hundred sixty-five thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 45 19571 58713 97855 120929 176139 293565 362787 604645 880695 1088361 1813935 5441805 2366701459 7100104377 11833507295 21300313131 35500521885 106501565655