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106840968 = 23313443773
BaseRepresentation
bin1100101111001…
…00001110001000
321110001002020220
412113210032020
5204322402333
614333550040
72435063463
oct627441610
9243032226
10106840968
1155344223
122b945320
131919a510
14102922da
1595a68b3
hex65e4388

106840968 has 64 divisors (see below), whose sum is σ = 288671040. Its totient is φ = 32757504.

The previous prime is 106840961. The next prime is 106840969. The reversal of 106840968 is 869048601.

It is a super-2 number, since 2×1068409682 = 22829984886354048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106840961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137830 + ... + 138602.

It is an arithmetic number, because the mean of its divisors is an integer number (4510485).

Almost surely, 2106840968 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 106840968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144335520).

106840968 is an abundant number, since it is smaller than the sum of its proper divisors (181830072).

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

106840968 is a wasteful number, since it uses less digits than its factorization.

106840968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 106840968 is about 10336.3904725005. The cubic root of 106840968 is about 474.5106213731.

The spelling of 106840968 in words is "one hundred six million, eight hundred forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 443 773 886 1329 1546 1772 2319 2658 3092 3544 4638 5316 5759 6184 9276 10049 10632 11518 17277 18552 20098 23036 30147 34554 40196 46072 60294 69108 80392 120588 138216 241176 342439 684878 1027317 1369756 2054634 2739512 4109268 4451707 8218536 8903414 13355121 17806828 26710242 35613656 53420484 106840968