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106896456 = 23332321517
BaseRepresentation
bin1100101111100…
…01110001001000
321110010220101000
412113301301020
5204331141311
614335055000
72435414322
oct627616110
9243126330
10106896456
1155381987
122b971460
13191b9854
14102a8612
1595b8056
hex65f1c48

106896456 has 64 divisors (see below), whose sum is σ = 309859200. Its totient is φ = 34081344.

The previous prime is 106896443. The next prime is 106896497. The reversal of 106896456 is 654698601.

106896456 is a `hidden beast` number, since 106 + 8 + 96 + 456 = 666.

It is a super-2 number, since 2×1068964562 = 22853704610719872, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5791 + ... + 15726.

It is an arithmetic number, because the mean of its divisors is an integer number (4841550).

Almost surely, 2106896456 is an apocalyptic number.

It is an amenable number.

106896456 is an abundant number, since it is smaller than the sum of its proper divisors (202962744).

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

106896456 is a wasteful number, since it uses less digits than its factorization.

106896456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21555 (or 21545 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 106896456 is about 10339.0742332184. The cubic root of 106896456 is about 474.5927530655.

The spelling of 106896456 in words is "one hundred six million, eight hundred ninety-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 21517 43034 64551 86068 129102 172136 193653 258204 387306 494891 516408 580959 774612 989782 1161918 1484673 1549224 1979564 2323836 2969346 3959128 4454019 4647672 5938692 8908038 11877384 13362057 17816076 26724114 35632152 53448228 106896456