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106965837 = 32111080463
BaseRepresentation
bin1100110000000…
…10101101001101
321110021102112200
412120002231031
5204340401322
614340352113
72436123516
oct630025515
9243242480
10106965837
115541a020
122b9a5639
13192122c4
14102c5a0d
1595cd8ac
hex6602b4d

106965837 has 12 divisors (see below), whose sum is σ = 168552384. Its totient is φ = 64827720.

The previous prime is 106965829. The next prime is 106965851. The reversal of 106965837 is 738569601.

It is a happy number.

106965837 is a `hidden beast` number, since 1 + 0 + 69 + 6 + 583 + 7 = 666.

It is not a de Polignac number, because 106965837 - 23 = 106965829 is a prime.

It is a super-2 number, since 2×1069658372 = 22883380570221138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106965792 and 106965801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106965857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540133 + ... + 540330.

It is an arithmetic number, because the mean of its divisors is an integer number (14046032).

Almost surely, 2106965837 is an apocalyptic number.

It is an amenable number.

106965837 is a deficient number, since it is larger than the sum of its proper divisors (61586547).

106965837 is a wasteful number, since it uses less digits than its factorization.

106965837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080480 (or 1080477 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 106965837 is about 10342.4289700244. The cubic root of 106965837 is about 474.6954087870.

The spelling of 106965837 in words is "one hundred six million, nine hundred sixty-five thousand, eight hundred thirty-seven".

Divisors: 1 3 9 11 33 99 1080463 3241389 9724167 11885093 35655279 106965837