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107106246 = 23313271563
BaseRepresentation
bin1100110001001…
…00111111000110
321110112120011000
412120210333012
5204404344441
614343354130
72440250052
oct630447706
9243476130
10107106246
1155505565
122ba52946
13192611a0
1410320c62
15960a2b6
hex6624fc6

107106246 has 64 divisors (see below), whose sum is σ = 257725440. Its totient is φ = 32775840.

The previous prime is 107106229. The next prime is 107106247. The reversal of 107106246 is 642601701.

It is a super-2 number, since 2×1071062462 = 22943495864425032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107106247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189961 + ... + 190523.

It is an arithmetic number, because the mean of its divisors is an integer number (4026960).

Almost surely, 2107106246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107106246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128862720).

107106246 is an abundant number, since it is smaller than the sum of its proper divisors (150619194).

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

107106246 is a wasteful number, since it uses less digits than its factorization.

107106246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107106246 is about 10349.2147528206. The cubic root of 107106246 is about 474.9030213836.

Adding to 107106246 its reverse (642601701), we get a palindrome (749707947).

The spelling of 107106246 in words is "one hundred seven million, one hundred six thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 271 351 542 563 702 813 1126 1626 1689 2439 3378 3523 4878 5067 7046 7317 7319 10134 10569 14634 14638 15201 21138 21957 30402 31707 43914 63414 65871 95121 131742 152573 190242 197613 305146 395226 457719 915438 1373157 1983449 2746314 3966898 4119471 5950347 8238942 11900694 17851041 35702082 53553123 107106246