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101696 = 267227
BaseRepresentation
bin11000110101000000
312011111112
4120311000
511223241
62102452
7602330
oct306500
9164445
10101696
116a451
124aa28
133739a
14290c0
15201eb
hex18d40

101696 has 28 divisors (see below), whose sum is σ = 231648. Its totient is φ = 43392.

The previous prime is 101693. The next prime is 101701. The reversal of 101696 is 696101.

It is a tau number, because it is divible by the number of its divisors (28).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101696.

It is not an unprimeable number, because it can be changed into a prime (101693) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335 + ... + 561.

2101696 is an apocalyptic number.

101696 is a gapful number since it is divisible by the number (16) 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 101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115824).

101696 is an abundant number, since it is smaller than the sum of its proper divisors (129952).

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

101696 is an equidigital number, since it uses as much as digits as its factorization.

101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 101696 is about 318.8981028479. The cubic root of 101696 is about 46.6768231862.

Adding to 101696 its reverse (696101), we get a palindrome (797797).

It can be divided in two parts, 101 and 696, that added together give a palindrome (797).

The spelling of 101696 in words is "one hundred one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 227 448 454 908 1589 1816 3178 3632 6356 7264 12712 14528 25424 50848 101696