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106953696 = 253441263
BaseRepresentation
bin1100101111111…
…11101111100000
321110020210220000
412113333233200
5204340004241
614340220000
72436043233
oct627775740
9243223800
10106953696
1155410993
122b99a600
1319209915
14102c141a
1595c9eb6
hex65ffbe0

106953696 has 60 divisors (see below), whose sum is σ = 314555472. Its totient is φ = 35650368.

The previous prime is 106953683. The next prime is 106953701. The reversal of 106953696 is 696359601.

106953696 is a `hidden beast` number, since 106 + 9 + 536 + 9 + 6 = 666.

It is a super-2 number, since 2×1069536962 = 22878186176120832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18040 + ... + 23223.

Almost surely, 2106953696 is an apocalyptic number.

106953696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106953696 is an abundant number, since it is smaller than the sum of its proper divisors (207601776).

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

106953696 is an equidigital number, since it uses as much as digits as its factorization.

106953696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41285 (or 41268 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 106953696 is about 10341.8420022741. The cubic root of 106953696 is about 474.6774482394.

The spelling of 106953696 in words is "one hundred six million, nine hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 41263 82526 123789 165052 247578 330104 371367 495156 660208 742734 990312 1114101 1320416 1485468 1980624 2228202 2970936 3342303 3961248 4456404 5941872 6684606 8912808 11883744 13369212 17825616 26738424 35651232 53476848 106953696