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106669520 = 2453736037
BaseRepresentation
bin1100101101110…
…10010111010000
321102201101001222
412112322113100
5204301411040
614330144212
72433450566
oct626722720
9242641058
10106669520
1155237431
122b882068
131913a479
1410249a36
159570bb5
hex65ba5d0

106669520 has 40 divisors (see below), whose sum is σ = 254716584. Its totient is φ = 41513472.

The previous prime is 106669517. The next prime is 106669531. The reversal of 106669520 is 25966601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10394176 + 96275344 = 3224^2 + 9812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1066695202 = 22756772994060800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15059 + ... + 20978.

Almost surely, 2106669520 is an apocalyptic number.

106669520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106669520 is an abundant number, since it is smaller than the sum of its proper divisors (148047064).

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

106669520 is a wasteful number, since it uses less digits than its factorization.

106669520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36087 (or 36081 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 106669520 is about 10328.0937253687. The cubic root of 106669520 is about 474.2566693119.

The spelling of 106669520 in words is "one hundred six million, six hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 36037 72074 144148 180185 288296 360370 576592 720740 1333369 1441480 2666738 2882960 5333476 6666845 10666952 13333690 21333904 26667380 53334760 106669520