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106197156 = 223413191327
BaseRepresentation
bin1100101010001…
…11000010100100
321101211101010000
412111013002210
5204141302111
614312101300
72426442462
oct625070244
9241741100
10106197156
1154a4454a
122b694830
1319003470
1410165832
1594cac56
hex65470a4

106197156 has 120 divisors (see below), whose sum is σ = 314948480. Its totient is φ = 30932928.

The previous prime is 106197151. The next prime is 106197163. The reversal of 106197156 is 651791601.

It is a happy number.

It is a super-2 number, since 2×1061971562 = 22555671884976672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106197156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106197151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79365 + ... + 80691.

Almost surely, 2106197156 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 106197156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157474240).

106197156 is an abundant number, since it is smaller than the sum of its proper divisors (208751324).

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

106197156 is a wasteful number, since it uses less digits than its factorization.

106197156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 106197156 is about 10305.2004347320. The cubic root of 106197156 is about 473.5555840929. Note that the first 4 decimals are identical.

The spelling of 106197156 in words is "one hundred six million, one hundred ninety-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 247 324 342 351 468 494 513 684 702 741 988 1026 1053 1327 1404 1482 1539 2052 2106 2223 2654 2964 3078 3981 4212 4446 5308 6156 6669 7962 8892 11943 13338 15924 17251 20007 23886 25213 26676 34502 35829 40014 47772 50426 51753 69004 71658 75639 80028 100852 103506 107487 143316 151278 155259 207012 214974 226917 302556 310518 327769 429948 453834 465777 621036 655538 680751 907668 931554 983307 1311076 1361502 1397331 1863108 1966614 2042253 2723004 2794662 2949921 3933228 4084506 5589324 5899842 8169012 8849763 11799684 17699526 26549289 35399052 53098578 106197156