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106115477 = 1320274027
BaseRepresentation
bin1100101001100…
…11000110010101
321101200020001212
412110303012111
5204131143402
614310231205
72425652366
oct624630625
9241606055
10106115477
1154999146
122b655505
1318ca5230
1410143b6d
1594b1952
hex6533195

106115477 has 8 divisors (see below), whose sum is σ = 114362976. Its totient is φ = 97880112.

The previous prime is 106115467. The next prime is 106115483. The reversal of 106115477 is 774511601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106115477 - 24 = 106115461 is a prime.

It is a super-2 number, since 2×1061154772 = 22520988917875058, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106115467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24338 + ... + 28364.

It is an arithmetic number, because the mean of its divisors is an integer number (14295372).

Almost surely, 2106115477 is an apocalyptic number.

It is an amenable number.

106115477 is a deficient number, since it is larger than the sum of its proper divisors (8247499).

106115477 is a wasteful number, since it uses less digits than its factorization.

106115477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067.

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 106115477 is about 10301.2366733320. The cubic root of 106115477 is about 473.4341449736.

The spelling of 106115477 in words is "one hundred six million, one hundred fifteen thousand, four hundred seventy-seven".

Divisors: 1 13 2027 4027 26351 52351 8162729 106115477