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106022757128 = 23192732832
BaseRepresentation
bin110001010111101110…
…0101110001100001000
3101010122220112002211112
41202233130232030020
53214113311212003
6120412311345452
710442225365121
oct1425734561410
9333586462745
10106022757128
1140a6709a732
121866a982288
139cc8515862
1451bacb5048
152b57d6a3d8
hex18af72e308

106022757128 has 108 divisors (see below), whose sum is σ = 215313305085. Its totient is φ = 48936555648.

The previous prime is 106022757101. The next prime is 106022757131. The reversal of 106022757128 is 821757220601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 105535319044 + 487438084 = 324862^2 + 22078^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=230242.

It is a super-2 number, since 2×1060227571282 (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 26 ways as a sum of consecutive naturals, for example, 1277382575 + ... + 1277382657.

Almost surely, 2106022757128 is an apocalyptic number.

It is an amenable number.

106022757128 is an abundant number, since it is smaller than the sum of its proper divisors (109290547957).

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

106022757128 is an frugal number, since it uses more digits than its factorization.

106022757128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

Adding to 106022757128 its reverse (821757220601), we get a palindrome (927779977729).

The spelling of 106022757128 in words is "one hundred six billion, twenty-two million, seven hundred fifty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 19 38 73 76 83 146 152 166 292 332 361 584 664 722 1387 1444 1577 2774 2888 3154 5329 5548 6059 6308 6889 10658 11096 12118 12616 13778 21316 24236 26353 27556 29963 42632 48472 52706 55112 59926 101251 105412 115121 119852 130891 202502 210824 230242 239704 261782 405004 442307 460484 502897 523564 810008 884614 920968 1005794 1047128 1769228 1923769 2011588 2187299 2486929 3538456 3847538 4023176 4374598 4973858 7695076 8403833 8749196 9555043 9947716 15390152 16807666 17498392 19110086 19895432 33615332 36711481 38220172 67230664 73422962 76440344 146845924 159672827 181545817 293691848 319345654 363091634 638691308 697518139 726183268 1277382616 1395036278 1452366536 2790072556 5580145112 13252844641 26505689282 53011378564 106022757128