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102364108 = 227113171151
BaseRepresentation
bin1100001100111…
…11001111001100
321010121122011021
412012133033030
5202201122413
614054003524
72352036430
oct606371714
9233548137
10102364108
1152866740
122a3465a4
13182908a2
14d8489c0
158ec018d
hex619f3cc

102364108 has 96 divisors (see below), whose sum is σ = 235339776. Its totient is φ = 37800000.

The previous prime is 102364103. The next prime is 102364109. The reversal of 102364108 is 801463201.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (102364103) 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, 677833 + ... + 677983.

It is an arithmetic number, because the mean of its divisors is an integer number (2451456).

Almost surely, 2102364108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102364108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117669888).

102364108 is an abundant number, since it is smaller than the sum of its proper divisors (132975668).

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

102364108 is a wasteful number, since it uses less digits than its factorization.

102364108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 102364108 is about 10117.5149122697. The cubic root of 102364108 is about 467.7881708699.

The spelling of 102364108 in words is "one hundred two million, three hundred sixty-four thousand, one hundred eight".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 71 77 124 142 151 154 217 284 302 308 341 434 497 604 682 781 868 994 1057 1364 1562 1661 1988 2114 2201 2387 3124 3322 4228 4402 4681 4774 5467 6644 8804 9362 9548 10721 10934 11627 15407 18724 21442 21868 23254 24211 30814 32767 42884 46508 48422 51491 61628 65534 75047 96844 102982 117931 131068 150094 169477 205964 235862 300188 332351 338954 360437 471724 664702 677908 720874 825517 1329404 1441748 1651034 2326457 3302068 3655861 4652914 7311722 9305828 14623444 25591027 51182054 102364108