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106922340 = 22325784859
BaseRepresentation
bin1100101111110…
…00000101100100
321110012012212200
412113320011210
5204333003330
614335414500
72435552640
oct627700544
9243165780
10106922340
115539a378
122b984430
13191c8575
14102b3c20
1595c0a60
hex65f8164

106922340 has 72 divisors (see below), whose sum is σ = 370668480. Its totient is φ = 24439104.

The previous prime is 106922327. The next prime is 106922353. The reversal of 106922340 is 43229601.

106922340 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106922327) and next prime (106922353).

It is a super-2 number, since 2×1069223402 = 22864773582151200, which contains 22 as substring.

106922340 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41170 + ... + 43689.

Almost surely, 2106922340 is an apocalyptic number.

106922340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106922340 is an abundant number, since it is smaller than the sum of its proper divisors (263746140).

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

106922340 is a wasteful number, since it uses less digits than its factorization.

106922340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84881 (or 84876 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106922340 is about 10340.3259136257. The cubic root of 106922340 is about 474.6310560735.

It can be divided in two parts, 1069 and 22340, that added together give a square (23409 = 1532).

The spelling of 106922340 in words is "one hundred six million, nine hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 84859 169718 254577 339436 424295 509154 594013 763731 848590 1018308 1188026 1272885 1527462 1697180 1782039 2376052 2545770 2970065 3054924 3564078 3818655 5091540 5346117 5940130 7128156 7637310 8910195 10692234 11880260 15274620 17820390 21384468 26730585 35640780 53461170 106922340