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106064802 = 23417192027
BaseRepresentation
bin1100101001001…
…10101110100010
321101120122120000
412110212232202
5204123033202
614305200430
72425351554
oct624465642
9241518500
10106064802
1154964068
122b630116
1318c8814c
141012d4d4
1594a191c
hex6526ba2

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".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 306 323 342 459 513 646 918 969 1026 1377 1539 1938 2027 2754 2907 3078 4054 5814 6081 8721 12162 17442 18243 26163 34459 36486 38513 52326 54729 68918 77026 103377 109458 115539 164187 206754 231078 310131 328374 346617 620262 654721 693234 930393 1039851 1309442 1860786 1964163 2079702 2791179 3119553 3928326 5582358 5892489 6239106 11784978 17677467 35354934 53032401 106064802