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106491375 = 3353139227
BaseRepresentation
bin1100101100011…
…10110111101111
321102101022201000
412112032313233
5204230211000
614322251343
72432106324
oct626166757
9242338630
10106491375
1155125601
122b7b6b53
13190a7363
1410200b4b
159538000
hex658edef

106491375 has 64 divisors (see below), whose sum is σ = 199180800. Its totient is φ = 56138400.

The previous prime is 106491367. The next prime is 106491377. The reversal of 106491375 is 573194601.

106491375 is a `hidden beast` number, since 1 + 0 + 649 + 1 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 106491375 - 23 = 106491367 is a prime.

It is a super-2 number, since 2×1064913752 = 22680825898781250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106491377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469012 + ... + 469238.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2106491375 is an apocalyptic number.

106491375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106491375 is a deficient number, since it is larger than the sum of its proper divisors (92689425).

106491375 is a wasteful number, since it uses less digits than its factorization.

106491375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106491375 is about 10319.4658291987. The cubic root of 106491375 is about 473.9925090949.

The spelling of 106491375 in words is "one hundred six million, four hundred ninety-one thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 139 225 227 375 417 675 681 695 1125 1135 1251 2043 2085 3375 3405 3475 3753 5675 6129 6255 10215 10425 17025 17375 18765 28375 30645 31275 31553 51075 52125 85125 93825 94659 153225 156375 157765 255375 283977 469125 473295 766125 788825 851931 1419885 2366475 3944125 4259655 7099425 11832375 21298275 35497125 106491375