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106769390 = 25713117329
BaseRepresentation
bin1100101110100…
…10101111101110
321102220110001212
412113102233232
5204313110030
614332234422
72434345010
oct627225756
9242813055
10106769390
11552a5472
122b90ba12
1319173a70
14102741b0
159590595
hex65d2bee

106769390 has 32 divisors (see below), whose sum is σ = 236537280. Its totient is φ = 33790464.

The previous prime is 106769357. The next prime is 106769407. The reversal of 106769390 is 93967601.

It is a happy number.

It is a super-2 number, since 2×1067693902 = 22799405281944200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 57755 + ... + 59574.

It is an arithmetic number, because the mean of its divisors is an integer number (7391790).

Almost surely, 2106769390 is an apocalyptic number.

106769390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106769390 is an abundant number, since it is smaller than the sum of its proper divisors (129767890).

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

106769390 is a wasteful number, since it uses less digits than its factorization.

106769390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117356.

The product of its (nonzero) digits is 61236, while the sum is 41.

The square root of 106769390 is about 10332.9274651475. The cubic root of 106769390 is about 474.4046317277.

The spelling of 106769390 in words is "one hundred six million, seven hundred sixty-nine thousand, three hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 117329 234658 586645 821303 1173290 1525277 1642606 3050554 4106515 7626385 8213030 10676939 15252770 21353878 53384695 106769390