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100661510106 = 23328329322481
BaseRepresentation
bin101110110111111100…
…1001011111111011010
3100121211021101112112000
41131233321023333122
53122123321310411
6114124313301430
710162325501253
oct1355771137732
9317737345460
10100661510106
1139765886473
1217613404876
139652893741
144c2cc59b2a
152942357956
hex176fe4bfda

100661510106 has 64 divisors (see below), whose sum is σ = 225258848640. Its totient is φ = 33319676160.

The previous prime is 100661510101. The next prime is 100661510129. The reversal of 100661510106 is 601015166001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100661510106.

It is not an unprimeable number, because it can be changed into a prime (100661510101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4466386 + ... + 4488866.

It is an arithmetic number, because the mean of its divisors is an integer number (3519669510).

Almost surely, 2100661510106 is an apocalyptic number.

100661510106 is an abundant number, since it is smaller than the sum of its proper divisors (124597338534).

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

100661510106 is a wasteful number, since it uses less digits than its factorization.

100661510106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23068 (or 23062 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 100661510106 its reverse (601015166001), we get a palindrome (701676676107).

The spelling of 100661510106 in words is "one hundred billion, six hundred sixty-one million, five hundred ten thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 283 293 566 586 849 879 1698 1758 2547 2637 5094 5274 7641 7911 15282 15822 22481 44962 67443 82919 134886 165838 202329 248757 404658 497514 606987 746271 1213974 1492542 2238813 4477626 6362123 6586933 12724246 13173866 19086369 19760799 38172738 39521598 57259107 59282397 114518214 118564794 171777321 177847191 343554642 355694382 1864102039 3728204078 5592306117 11184612234 16776918351 33553836702 50330755053 100661510106