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106918295 = 51110391871
BaseRepresentation
bin1100101111101…
…11000110010111
321110012000022212
412113313012113
5204332341140
614335344035
72435535101
oct627670627
9243160285
10106918295
1155397330
122b98201b
13191c6783
14102b2571
1595be765
hex65f7197

106918295 has 16 divisors (see below), whose sum is σ = 140175360. Its totient is φ = 77642400.

The previous prime is 106918291. The next prime is 106918303. The reversal of 106918295 is 592819601.

It is a happy number.

It is not a de Polignac number, because 106918295 - 22 = 106918291 is a prime.

It is a super-2 number, since 2×1069182952 = 22863043611414050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106918291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56210 + ... + 58080.

It is an arithmetic number, because the mean of its divisors is an integer number (8760960).

Almost surely, 2106918295 is an apocalyptic number.

106918295 is a deficient number, since it is larger than the sum of its proper divisors (33257065).

106918295 is a wasteful number, since it uses less digits than its factorization.

106918295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926.

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 106918295 is about 10340.1303183277. The cubic root of 106918295 is about 474.6250707112.

The spelling of 106918295 in words is "one hundred six million, nine hundred eighteen thousand, two hundred ninety-five".

Divisors: 1 5 11 55 1039 1871 5195 9355 11429 20581 57145 102905 1943969 9719845 21383659 106918295