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106055451156 = 223233596911549
BaseRepresentation
bin110001011000101100…
…1011100001000010100
3101010202012001010121110
41202301121130020110
53214200143414111
6120415440215020
710443103314024
oct1426131341024
9333665033543
10106055451156
1140a835a0196
121867990a470
13a002221b35
1451c1385a84
152b5ab775a6
hex18b165c214

106055451156 has 96 divisors (see below), whose sum is σ = 259483392000. Its totient is φ = 33650052480.

The previous prime is 106055451149. The next prime is 106055451181. The reversal of 106055451156 is 651154550601.

It is a super-2 number, since 2×1060554511562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 68466270 + ... + 68467818.

It is an arithmetic number, because the mean of its divisors is an integer number (2702952000).

Almost surely, 2106055451156 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 106055451156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129741696000).

106055451156 is an abundant number, since it is smaller than the sum of its proper divisors (153427940844).

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

106055451156 is a wasteful number, since it uses less digits than its factorization.

106055451156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 39.

The spelling of 106055451156 in words is "one hundred six billion, fifty-five million, four hundred fifty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 359 691 718 1077 1382 1436 1549 2073 2154 2764 3098 4146 4308 4647 6196 8257 8292 9294 15893 16514 18588 24771 31786 33028 35627 47679 49542 63572 71254 95358 99084 106881 142508 190716 213762 248069 427524 496138 556091 744207 992276 1070359 1112182 1488414 1668273 2140718 2224364 2976828 3211077 3336546 4281436 5705587 6422154 6673092 11411174 12790093 12844308 17116761 22822348 24618257 25580186 34233522 38370279 49236514 51160372 68467044 73854771 76740558 98473028 147709542 153481116 295419084 384258881 768517762 1152776643 1537035524 2305553286 4611106572 8837954263 17675908526 26513862789 35351817052 53027725578 106055451156