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102688038108 = 223219919797243
BaseRepresentation
bin101111110100010101…
…1110001110011011100
3100211001111122211022200
41133220223301303130
53140301114204413
6115101345011500
710263463631205
oct1375053616334
9324044584280
10102688038108
113a6057a19a7
1217a9a023b90
1398b6698636
144d8205c5ac
152a1020a573
hex17e8af1cdc

102688038108 has 72 divisors (see below), whose sum is σ = 261044784000. Its totient is φ = 34035430176.

The previous prime is 102688038091. The next prime is 102688038139. The reversal of 102688038108 is 801830886201.

102688038108 is a `hidden beast` number, since 1 + 0 + 268 + 8 + 0 + 381 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14173935 + ... + 14181177.

It is an arithmetic number, because the mean of its divisors is an integer number (3625622000).

Almost surely, 2102688038108 is an apocalyptic number.

102688038108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102688038108 is an abundant number, since it is smaller than the sum of its proper divisors (158356745892).

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

102688038108 is a wasteful number, since it uses less digits than its factorization.

102688038108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 102688038108 in words is "one hundred two billion, six hundred eighty-eight million, thirty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 199 398 597 796 1194 1791 1979 2388 3582 3958 5937 7164 7243 7916 11874 14486 17811 21729 23748 28972 35622 43458 65187 71244 86916 130374 260748 393821 787642 1181463 1441357 1575284 2362926 2882714 3544389 4324071 4725852 5765428 7088778 8648142 12972213 14177556 14333897 17296284 25944426 28667794 43001691 51888852 57335588 86003382 129005073 172006764 258010146 516020292 2852445503 5704891006 8557336509 11409782012 17114673018 25672009527 34229346036 51344019054 102688038108