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106899548 = 22719434673
BaseRepresentation
bin1100101111100…
…10100001011100
321110011001121112
412113302201130
5204331241143
614335121152
72435426330
oct627624134
9243131545
10106899548
1155384238
122b9731b8
13191bb092
14102a97c0
1595b8e18
hex65f285c

106899548 has 48 divisors (see below), whose sum is σ = 230334720. Its totient is φ = 42384384.

The previous prime is 106899547. The next prime is 106899557. The reversal of 106899548 is 845998601.

It is a happy number.

It is a super-2 number, since 2×1068995482 = 22855026725208608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106899496 and 106899505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106899547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20540 + ... + 25212.

It is an arithmetic number, because the mean of its divisors is an integer number (4798640).

Almost surely, 2106899548 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106899548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115167360).

106899548 is an abundant number, since it is smaller than the sum of its proper divisors (123435172).

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

106899548 is a wasteful number, since it uses less digits than its factorization.

106899548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The square root of 106899548 is about 10339.2237619659. The cubic root of 106899548 is about 474.5973289161.

The spelling of 106899548 in words is "one hundred six million, eight hundred ninety-nine thousand, five hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 3268 4673 5719 9346 11438 18692 22876 32711 65422 88787 130844 177574 200939 355148 401878 621509 803756 1243018 1406573 2486036 2813146 3817841 5626292 7635682 15271364 26724887 53449774 106899548