Base | Representation |
---|---|
bin | 1100101001001… |
… | …10101110100010 |
3 | 21101120122120000 |
4 | 12110212232202 |
5 | 204123033202 |
6 | 14305200430 |
7 | 2425351554 |
oct | 624465642 |
9 | 241518500 |
10 | 106064802 |
11 | 54964068 |
12 | 2b630116 |
13 | 18c8814c |
14 | 1012d4d4 |
15 | 94a191c |
hex | 6526ba2 |
106064802 has 80 divisors (see below), whose sum is σ = 265019040. Its totient is φ = 31508352.
The previous prime is 106064801. The next prime is 106064807. The reversal of 106064802 is 208460601.
106064802 is a `hidden beast` number, since 10 + 6 + 0 + 648 + 0 + 2 = 666.
It is a super-2 number, since 2×1060648022 = 22499484446598408, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (106064801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51313 + ... + 53339.
It is an arithmetic number, because the mean of its divisors is an integer number (3312738).
Almost surely, 2106064802 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106064802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132509520).
106064802 is an abundant number, since it is smaller than the sum of its proper divisors (158954238).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106064802 is a wasteful number, since it uses less digits than its factorization.
106064802 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2077 (or 2068 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 106064802 is about 10298.7767234755. The cubic root of 106064802 is about 473.3587708122.
The spelling of 106064802 in words is "one hundred six million, sixty-four thousand, eight hundred two".
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