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106424775 = 32523311429
BaseRepresentation
bin1100101011111…
…10100111000111
321102020221100100
412111332213013
5204221043100
614321015143
72431411212
oct625764707
9242227310
10106424775
115508a566
122b7844b3
1319082c52
14101c4779
159523400
hex657e9c7

106424775 has 36 divisors (see below), whose sum is σ = 191328280. Its totient is φ = 56548800.

The previous prime is 106424713. The next prime is 106424783. The reversal of 106424775 is 577424601.

106424775 is a `hidden beast` number, since 1 + 0 + 642 + 4 + 7 + 7 + 5 = 666.

It is not a de Polignac number, because 106424775 - 26 = 106424711 is a prime.

It is a super-2 number, since 2×1064247752 = 22652465467601250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73761 + ... + 75189.

Almost surely, 2106424775 is an apocalyptic number.

106424775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106424775 is a deficient number, since it is larger than the sum of its proper divisors (84903505).

106424775 is a wasteful number, since it uses less digits than its factorization.

106424775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 106424775 is about 10316.2384132977. The cubic root of 106424775 is about 473.8936764139.

The spelling of 106424775 in words is "one hundred six million, four hundred twenty-four thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 225 331 993 1429 1655 2979 4287 4965 7145 8275 12861 14895 21435 24825 35725 64305 74475 107175 321525 472999 1418997 2364995 4256991 7094985 11824975 21284955 35474925 106424775