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106437 = 3172087
BaseRepresentation
bin11001111111000101
312102000010
4121333011
511401222
62140433
7622212
oct317705
9172003
10106437
1172a71
1251719
13395a6
142ab09
152180c
hex19fc5

106437 has 8 divisors (see below), whose sum is σ = 150336. Its totient is φ = 66752.

The previous prime is 106433. The next prime is 106441. The reversal of 106437 is 734601.

It is an interprime number because it is at equal distance from previous prime (106433) and next prime (106441).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106437 - 22 = 106433 is a prime.

It is a super-2 number, since 2×1064372 = 22657669938, which contains 22 as substring.

106437 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 993 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (18792).

2106437 is an apocalyptic number.

106437 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106437 is a deficient number, since it is larger than the sum of its proper divisors (43899).

106437 is a wasteful number, since it uses less digits than its factorization.

106437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 106437 is about 326.2468390651. The cubic root of 106437 is about 47.3911821087.

The spelling of 106437 in words is "one hundred six thousand, four hundred thirty-seven".

Divisors: 1 3 17 51 2087 6261 35479 106437