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106935824 = 24131163313
BaseRepresentation
bin1100101111110…
…11011000010000
321110012220101002
412113323120100
5204333421244
614340001132
72435640152
oct627733020
9243186332
10106935824
11553a9516
122b9901a8
1319201748
14102b8ad2
1595c4a4e
hex65fb610

106935824 has 40 divisors (see below), whose sum is σ = 210721632. Its totient is φ = 52565760.

The previous prime is 106935817. The next prime is 106935827. The reversal of 106935824 is 428539601.

It is a happy number.

It is a super-2 number, since 2×1069358242 = 22870540909117952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106935827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341492 + ... + 341804.

Almost surely, 2106935824 is an apocalyptic number.

It is an amenable number.

106935824 is a deficient number, since it is larger than the sum of its proper divisors (103785808).

106935824 is a wasteful number, since it uses less digits than its factorization.

106935824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 106935824 is about 10340.9779034674. The cubic root of 106935824 is about 474.6510071774.

The spelling of 106935824 in words is "one hundred six million, nine hundred thirty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 131 163 262 313 326 524 626 652 1048 1252 1304 2096 2504 2608 5008 21353 41003 42706 51019 82006 85412 102038 164012 170824 204076 328024 341648 408152 656048 816304 6683489 13366978 26733956 53467912 106935824