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106058535 = 3511642779
BaseRepresentation
bin1100101001001…
…01001100100111
321101120022221220
412110211030213
5204122333120
614305111423
72425324362
oct624451447
9241508856
10106058535
115495a390
122b628573
1318c8533b
141012b0d9
15949eb40
hex6525327

106058535 has 16 divisors (see below), whose sum is σ = 185120640. Its totient is φ = 51422240.

The previous prime is 106058531. The next prime is 106058549. The reversal of 106058535 is 535850601.

It is not a de Polignac number, because 106058535 - 22 = 106058531 is a prime.

It is a super-2 number, since 2×1060585352 = 22496825692692450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 106058496 and 106058505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106058531) 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 15 ways as a sum of consecutive naturals, for example, 321225 + ... + 321554.

It is an arithmetic number, because the mean of its divisors is an integer number (11570040).

Almost surely, 2106058535 is an apocalyptic number.

106058535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106058535 is a deficient number, since it is larger than the sum of its proper divisors (79062105).

106058535 is a wasteful number, since it uses less digits than its factorization.

106058535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642798.

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 106058535 is about 10298.4724595447. The cubic root of 106058535 is about 473.3494475878.

It can be divided in two parts, 1060 and 58535, that added together give a palindrome (59595).

The spelling of 106058535 in words is "one hundred six million, fifty-eight thousand, five hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 165 642779 1928337 3213895 7070569 9641685 21211707 35352845 106058535