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106209660 = 22354737663
BaseRepresentation
bin1100101010010…
…10000101111100
321101212000021010
412111022011330
5204142202120
614312235220
72426524104
oct625120574
9241760233
10106209660
1154a52987
122b69bb10
131900906b
141016a204
1594ce7e0
hex654a17c

106209660 has 48 divisors (see below), whose sum is σ = 303722496. Its totient is φ = 27719232.

The previous prime is 106209641. The next prime is 106209679. The reversal of 106209660 is 66902601.

It is an interprime number because it is at equal distance from previous prime (106209641) and next prime (106209679).

It is a super-2 number, since 2×1062096602 = 22560983754631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 16012 + ... + 21651.

It is an arithmetic number, because the mean of its divisors is an integer number (6327552).

Almost surely, 2106209660 is an apocalyptic number.

106209660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106209660 is an abundant number, since it is smaller than the sum of its proper divisors (197512836).

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

106209660 is a wasteful number, since it uses less digits than its factorization.

106209660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37722 (or 37720 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 106209660 is about 10305.8071008534. The cubic root of 106209660 is about 473.5741693572.

The spelling of 106209660 in words is "one hundred six million, two hundred nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 37663 75326 112989 150652 188315 225978 376630 451956 564945 753260 1129890 1770161 2259780 3540322 5310483 7080644 8850805 10620966 17701610 21241932 26552415 35403220 53104830 106209660