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106928775 = 33521571009
BaseRepresentation
bin1100101111110…
…01101010000111
321110012112201000
412113321222013
5204333210100
614335504343
72435610462
oct627715207
9243175630
10106928775
11553a4198
122b9880b3
13191cb485
14102b62d9
1595c2900
hex65f9a87

106928775 has 48 divisors (see below), whose sum is σ = 197879200. Its totient is φ = 56609280.

The previous prime is 106928711. The next prime is 106928777. The reversal of 106928775 is 577829601.

It is not a de Polignac number, because 106928775 - 26 = 106928711 is a prime.

It is a super-2 number, since 2×1069287752 = 22867525846001250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106928775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106928777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105471 + ... + 106479.

Almost surely, 2106928775 is an apocalyptic number.

106928775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106928775 is a deficient number, since it is larger than the sum of its proper divisors (90950425).

106928775 is a wasteful number, since it uses less digits than its factorization.

106928775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 106928775 is about 10340.6370693493. The cubic root of 106928775 is about 474.6405775935.

The spelling of 106928775 in words is "one hundred six million, nine hundred twenty-eight thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 157 225 471 675 785 1009 1413 2355 3027 3925 4239 5045 7065 9081 11775 15135 21195 25225 27243 35325 45405 75675 105975 136215 158413 227025 475239 681075 792065 1425717 2376195 3960325 4277151 7128585 11880975 21385755 35642925 106928775