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106124042260 = 225531277431061
BaseRepresentation
bin110001011010101111…
…1000110000000010100
3101010220222002220220201
41202311133012000110
53214320223323020
6120430330310244
710444565322055
oct1426537060024
9333828086821
10106124042260
1141009289755
1218698888384
13a0134b92a2
1451ca51c72c
152b61bc5a0a
hex18b57c6014

106124042260 has 96 divisors (see below), whose sum is σ = 229377318912. Its totient is φ = 41226232320.

The previous prime is 106124042201. The next prime is 106124042267. The reversal of 106124042260 is 62240421601.

It is a super-3 number, since 3×1061240422603 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106124042267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100022130 + ... + 100023190.

It is an arithmetic number, because the mean of its divisors is an integer number (2389347072).

Almost surely, 2106124042260 is an apocalyptic number.

106124042260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106124042260 is an abundant number, since it is smaller than the sum of its proper divisors (123253276652).

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

106124042260 is a wasteful number, since it uses less digits than its factorization.

106124042260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 106124042260 its reverse (62240421601), we get a palindrome (168364463861).

The spelling of 106124042260 in words is "one hundred six billion, one hundred twenty-four million, forty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 53 106 127 212 254 265 508 530 635 743 1060 1061 1270 1486 2122 2540 2972 3715 4244 5305 6731 7430 10610 13462 14860 21220 26924 33655 39379 56233 67310 78758 94361 112466 134620 134747 157516 188722 196895 224932 269494 281165 377444 393790 471805 538988 562330 673735 787580 788323 943610 1124660 1347470 1576646 1887220 2694940 3153292 3941615 5001133 7141591 7883230 10002266 14283182 15766460 20004532 25005665 28566364 35707955 41781119 50011330 71415910 83562238 100022660 100117021 142831820 167124476 200234042 208905595 400468084 417811190 500585105 835622380 1001170210 2002340420 5306202113 10612404226 21224808452 26531010565 53062021130 106124042260