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106604300 = 225211199487
BaseRepresentation
bin1100101101010…
…10011100001100
321102121001121102
412112222130030
5204242314200
614324522232
72433056465
oct626523414
9242531542
10106604300
11551a2430
122b850378
131911688a
141022dd6c
15955b6d5
hex65aa70c

106604300 has 72 divisors (see below), whose sum is σ = 254150400. Its totient is φ = 38491200.

The previous prime is 106604293. The next prime is 106604317. The reversal of 106604300 is 3406601.

It is a super-2 number, since 2×1066043002 = 22728953556980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 218657 + ... + 219143.

Almost surely, 2106604300 is an apocalyptic number.

106604300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106604300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127075200).

106604300 is an abundant number, since it is smaller than the sum of its proper divisors (147546100).

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

106604300 is a wasteful number, since it uses less digits than its factorization.

106604300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 106604300 is about 10324.9358351517. The cubic root of 106604300 is about 474.1599927540.

It can be divided in two parts, 106 and 604300, that added together give a palindrome (604406).

The spelling of 106604300 in words is "one hundred six million, six hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 199 220 275 398 487 550 796 974 995 1100 1948 1990 2189 2435 3980 4378 4870 4975 5357 8756 9740 9950 10714 10945 12175 19900 21428 21890 24350 26785 43780 48700 53570 54725 96913 107140 109450 133925 193826 218900 267850 387652 484565 535700 969130 1066043 1938260 2132086 2422825 4264172 4845650 5330215 9691300 10660430 21320860 26651075 53302150 106604300