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107684545905 = 335532594813
BaseRepresentation
bin110010001001001111…
…1111100010101110001
3101021221201110201111000
41210102133330111301
53231014220432110
6121245233312213
710531344352266
oct1442237742561
9337851421430
10107684545905
114173a134192
1218a53405669
13a2018a3821
1452d789126d
152c03bc21c0
hex19127fc571

107684545905 has 96 divisors (see below), whose sum is σ = 198467740800. Its totient is φ = 55381577472.

The previous prime is 107684545873. The next prime is 107684545933. The reversal of 107684545905 is 509545486701.

It is a happy number.

107684545905 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 8 + 4 + 545 + 90 + 5 = 666.

It is not a de Polignac number, because 107684545905 - 25 = 107684545873 is a prime.

It is a super-2 number, since 2×1076845459052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22371279 + ... + 22376091.

It is an arithmetic number, because the mean of its divisors is an integer number (2067372300).

Almost surely, 2107684545905 is an apocalyptic number.

107684545905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107684545905 is a deficient number, since it is larger than the sum of its proper divisors (90783194895).

107684545905 is an equidigital number, since it uses as much as digits as its factorization.

107684545905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 107684545905 in words is "one hundred seven billion, six hundred eighty-four million, five hundred forty-five thousand, nine hundred five".

Divisors: 1 3 5 9 15 27 45 53 59 135 159 177 265 295 477 531 795 885 1431 1593 2385 2655 2809 3127 4813 7155 7965 8427 9381 14045 14439 15635 24065 25281 28143 42135 43317 46905 72195 75843 84429 126405 129951 140715 165731 216585 255089 283967 379215 422145 497193 649755 765267 828655 851901 1275445 1419835 1491579 2295801 2485965 2555703 3826335 4259505 4474737 6887403 7457895 7667109 11479005 12778515 13519717 15050251 22373685 34437015 38335545 40559151 45150753 67598585 75251255 121677453 135452259 202795755 225753765 365032359 406356777 608387265 677261295 797663303 1825161795 2031783885 2392989909 3988316515 7178969727 11964949545 21536909181 35894848635 107684545905