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106010511700 = 225227114232749
BaseRepresentation
bin110001010111010111…
…0000000100101010100
3101010122001110222021011
41202232232000211110
53214102142333300
6120411153102004
710442016324142
oct1425656004524
9333561428234
10106010511700
1140a60196545
1218666857904
139cc5b18c42
1451b9408592
152b56c4beba
hex18aeb80954

106010511700 has 72 divisors (see below), whose sum is σ = 231137984000. Its totient is φ = 42202684800.

The previous prime is 106010511653. The next prime is 106010511703. The reversal of 106010511700 is 7115010601.

It is a super-2 number, since 2×1060105117002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010511703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38561926 + ... + 38564674.

Almost surely, 2106010511700 is an apocalyptic number.

106010511700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010511700 is an abundant number, since it is smaller than the sum of its proper divisors (125127472300).

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

106010511700 is a wasteful number, since it uses less digits than its factorization.

106010511700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 22.

The spelling of 106010511700 in words is "one hundred six billion, ten million, five hundred eleven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 271 542 1084 1355 1423 2710 2749 2846 5420 5498 5692 6775 7115 10996 13550 13745 14230 27100 27490 28460 35575 54980 68725 71150 137450 142300 274900 385633 744979 771266 1489958 1542532 1928165 2979916 3724895 3856330 3911827 7449790 7712660 7823654 9640825 14899580 15647308 18624475 19281650 19559135 37248950 38563300 39118270 74497900 78236540 97795675 195591350 391182700 1060105117 2120210234 4240420468 5300525585 10601051170 21202102340 26502627925 53005255850 106010511700