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106855476 = 22373131997
BaseRepresentation
bin1100101111001…
…11110000110100
321110001211011020
412113213300310
5204323333401
614334141140
72435154000
oct627476064
9243054136
10106855476
1155354112
122b9517b0
13191a3cc0
1410297700
1595aad36
hex65e7c34

106855476 has 96 divisors (see below), whose sum is σ = 313286400. Its totient is φ = 28167552.

The previous prime is 106855457. The next prime is 106855513. The reversal of 106855476 is 674558601.

It is a super-2 number, since 2×1068554762 = 22836185502373152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 52510 + ... + 54506.

It is an arithmetic number, because the mean of its divisors is an integer number (3263400).

Almost surely, 2106855476 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 106855476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156643200).

106855476 is an abundant number, since it is smaller than the sum of its proper divisors (206430924).

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

106855476 is a wasteful number, since it uses less digits than its factorization.

106855476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 106855476 is about 10337.0922410512. The cubic root of 106855476 is about 474.5320984296.

It can be divided in two parts, 10685 and 5476, that added together give a palindrome (16161).

The spelling of 106855476 in words is "one hundred six million, eight hundred fifty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 343 364 546 588 637 686 1029 1092 1274 1372 1911 1997 2058 2548 3822 3994 4116 4459 5991 7644 7988 8918 11982 13377 13979 17836 23964 25961 26754 27958 41937 51922 53508 55916 77883 83874 97853 103844 155766 167748 181727 195706 293559 311532 363454 391412 545181 587118 684971 726908 1090362 1174236 1272089 1369942 2054913 2180724 2544178 2739884 3816267 4109826 5088356 7632534 8219652 8904623 15265068 17809246 26713869 35618492 53427738 106855476