Search a number
-
+
106955208 = 23333115973
BaseRepresentation
bin1100110000000…
…00000111001000
321110020212222000
412120000013020
5204340031313
614340231000
72436050523
oct630000710
9243225860
10106955208
1155412038
122b99b460
131920a509
14102c1bba
1595ca673
hex66001c8

106955208 has 64 divisors (see below), whose sum is σ = 306700800. Its totient is φ = 34499520.

The previous prime is 106955171. The next prime is 106955213. The reversal of 106955208 is 802559601.

It is a happy number.

It is a super-2 number, since 2×1069552082 = 22878833036646528, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291 + ... + 14682.

It is an arithmetic number, because the mean of its divisors is an integer number (4792200).

Almost surely, 2106955208 is an apocalyptic number.

106955208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106955208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153350400).

106955208 is an abundant number, since it is smaller than the sum of its proper divisors (199745592).

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

106955208 is a wasteful number, since it uses less digits than its factorization.

106955208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16019 (or 16009 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 106955208 is about 10341.9151031132. The cubic root of 106955208 is about 474.6796850608.

The spelling of 106955208 in words is "one hundred six million, nine hundred fifty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 15973 31946 47919 63892 95838 127784 143757 191676 287514 383352 431271 495163 575028 862542 990326 1150056 1485489 1725084 1980652 2970978 3450168 3961304 4456467 5941956 8912934 11883912 13369401 17825868 26738802 35651736 53477604 106955208