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106032 = 243472
BaseRepresentation
bin11001111000110000
312101110010
4121320300
511343112
62134520
7621063
oct317060
9171403
10106032
1172733
1251440
1339354
142a8da
152163c
hex19e30

106032 has 30 divisors (see below), whose sum is σ = 279868. Its totient is φ = 34592.

The previous prime is 106031. The next prime is 106033. The reversal of 106032 is 230601.

Multipling 106032 by its sum of digits (12), we get a square (1272384 = 11282).

106032 divided by its sum of digits (12) gives a square (8836 = 942).

Adding to 106032 its reverse (230601), we get a palindrome (336633).

It is an interprime number because it is at equal distance from previous prime (106031) and next prime (106033).

It is a super-2 number, since 2×1060322 = 22485570048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 105999 and 106017.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106032.

It is not an unprimeable number, because it can be changed into a prime (106031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2233 + ... + 2279.

2106032 is an apocalyptic number.

106032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139934).

106032 is an abundant number, since it is smaller than the sum of its proper divisors (173836).

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

106032 is an equidigital number, since it uses as much as digits as its factorization.

106032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 106032 is about 325.6255518229. The cubic root of 106032 is about 47.3309968209.

The spelling of 106032 in words is "one hundred six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2209 2256 4418 6627 8836 13254 17672 26508 35344 53016 106032