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106061556 = 223232511531
BaseRepresentation
bin1100101001001…
…01111011110100
321101120111002210
412110211323310
5204122432211
614305133420
72425336236
oct624457364
9241514083
10106061556
1154961687
122b62a270
1318c86823
141012c256
1594a09a6
hex6525ef4

106061556 has 48 divisors (see below), whose sum is σ = 259435008. Its totient is φ = 33660000.

The previous prime is 106061551. The next prime is 106061581. The reversal of 106061556 is 655160601.

It is a super-2 number, since 2×1060615562 = 22498107322282272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106061551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68511 + ... + 70041.

It is an arithmetic number, because the mean of its divisors is an integer number (5404896).

Almost surely, 2106061556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106061556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129717504).

106061556 is an abundant number, since it is smaller than the sum of its proper divisors (153373452).

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

106061556 is a wasteful number, since it uses less digits than its factorization.

106061556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 106061556 is about 10298.6191307379. The cubic root of 106061556 is about 473.3539418830.

The spelling of 106061556 in words is "one hundred six million, sixty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 251 276 502 753 1004 1506 1531 3012 3062 4593 5773 6124 9186 11546 17319 18372 23092 34638 35213 69276 70426 105639 140852 211278 384281 422556 768562 1152843 1537124 2305686 4611372 8838463 17676926 26515389 35353852 53030778 106061556