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106727547140 = 22543499248701
BaseRepresentation
bin110001101100101110…
…1010010000100000100
3101012111000201010222022
41203121131102010010
53222034223002030
6121010245422312
710465544116364
oct1433135220404
9335430633868
10106727547140
1141298a10915
1218826a0a998
13a0ab541276
1452467389a4
152b99b86de5
hex18d9752104

106727547140 has 48 divisors (see below), whose sum is σ = 229800648000. Its totient is φ = 41614473600.

The previous prime is 106727547139. The next prime is 106727547191. The reversal of 106727547140 is 41745727601.

It is a super-2 number, since 2×1067275471402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106727547091 and 106727547100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304790 + ... + 553490.

It is an arithmetic number, because the mean of its divisors is an integer number (4787513500).

Almost surely, 2106727547140 is an apocalyptic number.

106727547140 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 106727547140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114900324000).

106727547140 is an abundant number, since it is smaller than the sum of its proper divisors (123073100860).

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

106727547140 is a wasteful number, since it uses less digits than its factorization.

106727547140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249252 (or 249250 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The spelling of 106727547140 in words is "one hundred six billion, seven hundred twenty-seven million, five hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 499 860 998 1996 2495 4990 9980 21457 42914 85828 107285 214570 248701 429140 497402 994804 1243505 2487010 4974020 10694143 21388286 42776572 53470715 106941430 124101799 213882860 248203598 496407196 620508995 1241017990 2482035980 5336377357 10672754714 21345509428 26681886785 53363773570 106727547140