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100806606 = 235316691
BaseRepresentation
bin1100000001000…
…10111111001110
321000200111200000
412000202333032
5201301302411
614000345130
72332561545
oct600427716
9230614600
10100806606
11519a254a
12299151a6
1317b669a4
14d56115c
158cb3956
hex6022fce

100806606 has 48 divisors (see below), whose sum is σ = 233845248. Its totient is φ = 32513400.

The previous prime is 100806569. The next prime is 100806619. The reversal of 100806606 is 606608001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100806606.

It is a congruent number.

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, 11721 + ... + 18411.

It is an arithmetic number, because the mean of its divisors is an integer number (4871776).

Almost surely, 2100806606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100806606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116922624).

100806606 is an abundant number, since it is smaller than the sum of its proper divisors (133038642).

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

100806606 is an equidigital number, since it uses as much as digits as its factorization.

100806606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100806606 is about 10040.2492996937. The cubic root of 100806606 is about 465.4035206967.

The spelling of 100806606 in words is "one hundred million, eight hundred six thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 5022 6691 7533 13382 15066 20073 40146 60219 120438 180657 207421 361314 414842 541971 622263 1083942 1244526 1625913 1866789 3251826 3733578 5600367 11200734 16801101 33602202 50403303 100806606