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106288002 = 23243532591
BaseRepresentation
bin1100101010111…
…01001110000010
321101222222201200
412111131032002
5204202204002
614314042030
72430301362
oct625351602
9241888650
10106288002
1154aa6827
122b719316
1319035912
141018a9a2
1594e7b1c
hex655d382

106288002 has 48 divisors (see below), whose sum is σ = 240185088. Its totient is φ = 33939360.

The previous prime is 106287997. The next prime is 106288019. The reversal of 106288002 is 200882601.

It is a super-2 number, since 2×1062880022 = 22594278738304008, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39727 + ... + 42317.

It is an arithmetic number, because the mean of its divisors is an integer number (5003856).

Almost surely, 2106288002 is an apocalyptic number.

106288002 is an abundant number, since it is smaller than the sum of its proper divisors (133897086).

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

106288002 is a wasteful number, since it uses less digits than its factorization.

106288002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106288002 is about 10309.6072670107. The cubic root of 106288002 is about 473.6905794504.

The spelling of 106288002 in words is "one hundred six million, two hundred eighty-eight thousand, two".

Divisors: 1 2 3 6 9 18 43 53 86 106 129 159 258 318 387 477 774 954 2279 2591 4558 5182 6837 7773 13674 15546 20511 23319 41022 46638 111413 137323 222826 274646 334239 411969 668478 823938 1002717 1235907 2005434 2471814 5904889 11809778 17714667 35429334 53144001 106288002