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102105665618 = 211235913192593
BaseRepresentation
bin101111100010111111…
…0001101000001010010
3100202112220211020110012
41133011332031001102
53133103022244433
6114523502434522
710243162560215
oct1370576150122
9322486736405
10102105665618
113a336a93920
1217956b92a42
139822b32328
144d2898377c
1529c9020848
hex17c5f8d052

102105665618 has 64 divisors (see below), whose sum is σ = 177504307200. Its totient is φ = 43591426560.

The previous prime is 102105665617. The next prime is 102105665621. The reversal of 102105665618 is 816566501201.

102105665618 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102105665617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39376130 + ... + 39378722.

It is an arithmetic number, because the mean of its divisors is an integer number (2773504800).

Almost surely, 2102105665618 is an apocalyptic number.

102105665618 is a deficient number, since it is larger than the sum of its proper divisors (75398641582).

102105665618 is a wasteful number, since it uses less digits than its factorization.

102105665618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007.

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 102105665618 in words is "one hundred two billion, one hundred five million, six hundred sixty-five thousand, six hundred eighteen".

Divisors: 1 2 11 22 23 46 59 118 253 506 649 1298 1319 1357 2593 2638 2714 5186 14509 14927 28523 29018 29854 30337 57046 59639 60674 77821 119278 152987 155642 305974 333707 656029 667414 856031 1312058 1682857 1712062 1789883 3365714 3420167 3518701 3579766 6840334 7037402 19688713 37621837 38705711 39377426 75243674 77411422 78663841 157327682 201789853 403579706 865302251 1730604502 2219688383 4439376766 4641166619 9282333238 51052832809 102105665618