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102101860 = 22574759263
BaseRepresentation
bin1100001010111…
…11001101100100
321010010022102101
412011133031210
5202114224420
614044221444
72346565030
oct605371544
9233108371
10102101860
11526a7703
122a23a884
13181cb403
14d7bb1c0
158e6c60a
hex615f364

102101860 has 96 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 33552768.

The previous prime is 102101851. The next prime is 102101921. The reversal of 102101860 is 68101201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388089 + ... + 388351.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2102101860 is an apocalyptic number.

102101860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

102101860 is an abundant number, since it is smaller than the sum of its proper divisors (153365660).

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

102101860 is a wasteful number, since it uses less digits than its factorization.

102101860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 102101860 is about 10104.5465014517. The cubic root of 102101860 is about 467.3883516162.

The spelling of 102101860 in words is "one hundred two million, one hundred one thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 59 70 94 118 140 188 235 236 263 295 329 413 470 526 590 658 826 940 1052 1180 1315 1316 1645 1652 1841 2065 2630 2773 3290 3682 4130 5260 5546 6580 7364 8260 9205 11092 12361 13865 15517 18410 19411 24722 27730 31034 36820 38822 49444 55460 61805 62068 77585 77644 86527 97055 108619 123610 155170 173054 194110 217238 247220 310340 346108 388220 432635 434476 543095 729299 865270 1086190 1458598 1730540 2172380 2917196 3646495 5105093 7292990 10210186 14585980 20420372 25525465 51050930 102101860