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106010475 = 3525212713
BaseRepresentation
bin1100101000110…
…01011101101011
321101110220000220
412110121131223
5204114313400
614304101123
72425034304
oct624313553
9241426026
10106010475
115492726a
122b6047a3
1318c694bc
14101177ab
1594907a0
hex651976b

106010475 has 24 divisors (see below), whose sum is σ = 175671792. Its totient is φ = 56409600.

The previous prime is 106010467. The next prime is 106010533. The reversal of 106010475 is 574010601.

It is not a de Polignac number, because 106010475 - 23 = 106010467 is a prime.

It is a super-2 number, since 2×1060104752 = 22476441619451250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37719 + ... + 40431.

It is an arithmetic number, because the mean of its divisors is an integer number (7319658).

Almost surely, 2106010475 is an apocalyptic number.

106010475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106010475 is a deficient number, since it is larger than the sum of its proper divisors (69661317).

106010475 is a wasteful number, since it uses less digits than its factorization.

106010475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 106010475 is about 10296.1388393902. The cubic root of 106010475 is about 473.2779379837.

The spelling of 106010475 in words is "one hundred six million, ten thousand, four hundred seventy-five".

Divisors: 1 3 5 15 25 75 521 1563 2605 2713 7815 8139 13025 13565 39075 40695 67825 203475 1413473 4240419 7067365 21202095 35336825 106010475