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106835337 = 3272242257
BaseRepresentation
bin1100101111000…
…10110110001001
321110000210112100
412113202312021
5204322212322
614333504013
72435041200
oct627426611
9243023470
10106835337
115533aa74
122b942009
1319197a9b
1410290237
1595a4dac
hex65e2d89

106835337 has 18 divisors (see below), whose sum is σ = 179513178. Its totient is φ = 61048512.

The previous prime is 106835303. The next prime is 106835383. The reversal of 106835337 is 733538601.

It can be written as a sum of positive squares in only one way, i.e., 105452361 + 1382976 = 10269^2 + 1176^2 .

It is not a de Polignac number, because 106835337 - 220 = 105786761 is a prime.

It is a super-2 number, since 2×1068353372 = 22827578463807138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106835387) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120688 + ... + 121569.

Almost surely, 2106835337 is an apocalyptic number.

It is an amenable number.

106835337 is a deficient number, since it is larger than the sum of its proper divisors (72677841).

106835337 is a wasteful number, since it uses less digits than its factorization.

106835337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242277 (or 242267 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 106835337 is about 10336.1180817558. The cubic root of 106835337 is about 474.5022849446.

The spelling of 106835337 in words is "one hundred six million, eight hundred thirty-five thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 242257 726771 1695799 2180313 5087397 11870593 15262191 35611779 106835337