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106212666 = 23723432557
BaseRepresentation
bin1100101010010…
…10110100111010
321101212011101110
412111022310322
5204142301131
614312301150
72426535630
oct625126472
9241764343
10106212666
1154a5516a
122b6a17b6
131900a541
141016b350
1594d0646
hex654ad3a

106212666 has 64 divisors (see below), whose sum is σ = 259319808. Its totient is φ = 28340928.

The previous prime is 106212653. The next prime is 106212677. The reversal of 106212666 is 666212601.

It is a super-2 number, since 2×1062126662 = 22562260837655112, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40260 + ... + 42816.

It is an arithmetic number, because the mean of its divisors is an integer number (4051872).

Almost surely, 2106212666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106212666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129659904).

106212666 is an abundant number, since it is smaller than the sum of its proper divisors (153107142).

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

106212666 is a wasteful number, since it uses less digits than its factorization.

106212666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 106212666 is about 10305.9529399275. The cubic root of 106212666 is about 473.5786370943.

The spelling of 106212666 in words is "one hundred six million, two hundred twelve thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 23 42 43 46 69 86 129 138 161 258 301 322 483 602 903 966 989 1806 1978 2557 2967 5114 5934 6923 7671 13846 15342 17899 20769 35798 41538 53697 58811 107394 109951 117622 176433 219902 329853 352866 411677 659706 769657 823354 1235031 1539314 2308971 2470062 2528873 4617942 5057746 7586619 15173238 17702111 35404222 53106333 106212666