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106455470 = 25114759349
BaseRepresentation
bin1100101100001…
…10000110101110
321102022111110012
412112012012232
5204223033340
614321413222
72431566542
oct626060656
9242274405
10106455470
1155100630
122b79a212
1319093c04
14101d1a22
15952c565
hex65861ae

106455470 has 64 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 37138560.

The previous prime is 106455469. The next prime is 106455473. The reversal of 106455470 is 74554601.

It is a super-2 number, since 2×1064554702 = 22665534185841800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106455473) 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 31 ways as a sum of consecutive naturals, for example, 304856 + ... + 305204.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2106455470 is an apocalyptic number.

106455470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106455470 is an abundant number, since it is smaller than the sum of its proper divisors (111272530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106455470 is a wasteful number, since it uses less digits than its factorization.

106455470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473.

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 106455470 is about 10317.7260091553. The cubic root of 106455470 is about 473.9392321226.

The spelling of 106455470 in words is "one hundred six million, four hundred fifty-five thousand, four hundred seventy".

Divisors: 1 2 5 10 11 22 47 55 59 94 110 118 235 295 349 470 517 590 649 698 1034 1298 1745 2585 2773 3245 3490 3839 5170 5546 6490 7678 13865 16403 19195 20591 27730 30503 32806 38390 41182 61006 82015 102955 152515 164030 180433 205910 226501 305030 360866 453002 902165 967777 1132505 1804330 1935554 2265010 4838885 9677770 10645547 21291094 53227735 106455470