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106732210668 = 223193073114903
BaseRepresentation
bin110001101100110111…
…1000100100111101100
3101012111100111002010120
41203121233010213230
53222041421220133
6121010533404540
710465631551566
oct1433157044754
9335440432116
10106732210668
11412a0606676
1218828499750
13a0ac4b4b55
1452471d0336
152b9a2a8ab3
hex18d9bc49ec

106732210668 has 96 divisors (see below), whose sum is σ = 263902679040. Its totient is φ = 33480267840.

The previous prime is 106732210603. The next prime is 106732210699. The reversal of 106732210668 is 866012237601.

It is a super-2 number, since 2×1067322106682 (a number of 23 digits) contains 22 as substring.

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, 21766305 + ... + 21771207.

It is an arithmetic number, because the mean of its divisors is an integer number (2748986240).

Almost surely, 2106732210668 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 106732210668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131951339520).

106732210668 is an abundant number, since it is smaller than the sum of its proper divisors (157170468372).

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

106732210668 is a wasteful number, since it uses less digits than its factorization.

106732210668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 106732210668 in words is "one hundred six billion, seven hundred thirty-two million, two hundred ten thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 307 311 614 622 921 933 1228 1244 1842 1866 3684 3732 4903 5833 5909 9806 11666 11818 14709 17499 17727 19612 23332 23636 29418 34998 35454 58836 69996 70908 93157 95477 186314 190954 279471 286431 372628 381908 558942 572862 1117884 1145724 1505221 1524833 1814063 3010442 3049666 3628126 4515663 4574499 5442189 6020884 6099332 7256252 9031326 9148998 10884378 18062652 18297996 21768756 28599199 28971827 57198398 57943654 85797597 86915481 114396796 115887308 171595194 173830962 343190388 347661924 468123731 936247462 1404371193 1872494924 2808742386 5617484772 8894350889 17788701778 26683052667 35577403556 53366105334 106732210668