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106670556 = 223237531511
BaseRepresentation
bin1100101101110…
…10100111011100
321102201102111100
412112322213130
5204301424211
614330153100
72433453606
oct626724734
9242642440
10106670556
1155238193
122b882790
131913aa95
141024a176
159571156
hex65ba9dc

106670556 has 72 divisors (see below), whose sum is σ = 282338784. Its totient is φ = 33920640.

The previous prime is 106670537. The next prime is 106670587. The reversal of 106670556 is 655076601.

It is a happy number.

It is a super-2 number, since 2×1066705562 = 22757215034698272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106670556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69841 + ... + 71351.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2106670556 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 106670556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

106670556 is an abundant number, since it is smaller than the sum of its proper divisors (175668228).

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

106670556 is a wasteful number, since it uses less digits than its factorization.

106670556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 106670556 is about 10328.1438797104. The cubic root of 106670556 is about 474.2582046718.

The spelling of 106670556 in words is "one hundred six million, six hundred seventy thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 53 74 106 111 148 159 212 222 318 333 444 477 636 666 954 1332 1511 1908 1961 3022 3922 4533 5883 6044 7844 9066 11766 13599 17649 18132 23532 27198 35298 54396 55907 70596 80083 111814 160166 167721 223628 240249 320332 335442 480498 503163 670884 720747 960996 1006326 1441494 2012652 2882988 2963071 5926142 8889213 11852284 17778426 26667639 35556852 53335278 106670556