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106728876 = 223259109461
BaseRepresentation
bin1100101110010…
…00110110101100
321102211101111100
412113020312230
5204310311001
614331323100
72434115622
oct627106654
9242741440
10106728876
1155277a91
122b8b0490
131915b4a7
1410263512
159583586
hex65c8dac

106728876 has 72 divisors (see below), whose sum is σ = 277477200. Its totient is φ = 34577280.

The previous prime is 106728859. The next prime is 106728893. The reversal of 106728876 is 678827601.

It is an interprime number because it is at equal distance from previous prime (106728859) and next prime (106728893).

It is a super-2 number, since 2×1067288762 = 22782105944446752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 231286 + ... + 231746.

It is an arithmetic number, because the mean of its divisors is an integer number (3853850).

Almost surely, 2106728876 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 106728876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138738600).

106728876 is an abundant number, since it is smaller than the sum of its proper divisors (170748324).

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

106728876 is a wasteful number, since it uses less digits than its factorization.

106728876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 106728876 is about 10330.9668472994. The cubic root of 106728876 is about 474.3446193316.

The spelling of 106728876 in words is "one hundred six million, seven hundred twenty-eight thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 109 118 177 218 236 327 354 436 461 531 654 708 922 981 1062 1308 1383 1844 1962 2124 2766 3924 4149 5532 6431 8298 12862 16596 19293 25724 27199 38586 50249 54398 57879 77172 81597 100498 108796 115758 150747 163194 200996 231516 244791 301494 326388 452241 489582 602988 904482 979164 1808964 2964691 5929382 8894073 11858764 17788146 26682219 35576292 53364438 106728876