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106678620 = 2234565851
BaseRepresentation
bin1100101101111…
…00100101011100
321102201211120000
412112330211130
5204302203440
614330254300
72433516246
oct626744534
9242654500
10106678620
1155243254
122b887390
1319141659
141024d096
159573730
hex65bc95c

106678620 has 60 divisors (see below), whose sum is σ = 334659864. Its totient is φ = 28447200.

The previous prime is 106678609. The next prime is 106678639. The reversal of 106678620 is 26876601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1066786202 = 22760655930208800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31306 + ... + 34545.

Almost surely, 2106678620 is an apocalyptic number.

106678620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106678620 is an abundant number, since it is smaller than the sum of its proper divisors (227981244).

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

106678620 is a wasteful number, since it uses less digits than its factorization.

106678620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65872 (or 65861 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106678620 is about 10328.5342619367. The cubic root of 106678620 is about 474.2701552417.

The spelling of 106678620 in words is "one hundred six million, six hundred seventy-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 65851 131702 197553 263404 329255 395106 592659 658510 790212 987765 1185318 1317020 1777977 1975530 2370636 2963295 3555954 3951060 5333931 5926590 7111908 8889885 10667862 11853180 17779770 21335724 26669655 35559540 53339310 106678620