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106720796 = 227132191187
BaseRepresentation
bin1100101110001…
…10111000011100
321102210222102002
412113012320130
5204310031141
614331221432
72434053230
oct627067034
9242728362
10106720796
1155271a06
122b8a7878
1319157900
14102605c0
159580e9b
hex65c6e1c

106720796 has 72 divisors (see below), whose sum is σ = 243492480. Its totient is φ = 39963456.

The previous prime is 106720787. The next prime is 106720811. The reversal of 106720796 is 697027601.

It is a super-2 number, since 2×1067207962 = 22778656597747232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89315 + ... + 90501.

It is an arithmetic number, because the mean of its divisors is an integer number (3381840).

Almost surely, 2106720796 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 106720796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121746240).

106720796 is an abundant number, since it is smaller than the sum of its proper divisors (136771684).

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

106720796 is a wasteful number, since it uses less digits than its factorization.

106720796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 106720796 is about 10330.5757825980. The cubic root of 106720796 is about 474.3326488090.

The spelling of 106720796 in words is "one hundred six million, seven hundred twenty thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 169 182 247 266 338 364 494 532 676 988 1183 1187 1729 2366 2374 3211 3458 4732 4748 6422 6916 8309 12844 15431 16618 22477 22553 30862 33236 44954 45106 61724 89908 90212 108017 157871 200603 216034 293189 315742 401206 432068 586378 631484 802412 1172756 1404221 2052323 2808442 3811457 4104646 5616884 7622914 8209292 15245828 26680199 53360398 106720796