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106807390596 = 2232544692
BaseRepresentation
bin110001101111000110…
…1110111000110000100
3101012200120221121121100
41203132031313012010
53222220142444341
6121022221020100
710500533561214
oct1433615670604
9335616847540
10106807390596
1141329a95445
12188496b4630
13a0c1c4830a
1452531a0244
152ba1ba93b6
hex18de377184

106807390596 has 27 divisors (see below), whose sum is σ = 269990305221. Its totient is φ = 35601809904.

The previous prime is 106807390589. The next prime is 106807390597. The reversal of 106807390596 is 695093708601.

The square root of 106807390596 is 326814.

It is a perfect power (a square), and thus also a powerful number.

106807390596 is a `hidden beast` number, since 10 + 6 + 8 + 0 + 7 + 39 + 0 + 596 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78784630596 + 28022760000 = 280686^2 + 167400^2 .

It is a super-2 number, since 2×1068073905962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106807390597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1933650 + ... + 1988118.

Almost surely, 2106807390596 is an apocalyptic number.

106807390596 is the 326814-th square number.

It is an amenable number.

106807390596 is an abundant number, since it is smaller than the sum of its proper divisors (163182914625).

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

106807390596 is an frugal number, since it uses more digits than its factorization.

106807390596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108948 (or 54474 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 106807390596 in words is "one hundred six billion, eight hundred seven million, three hundred ninety thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 54469 108938 163407 217876 326814 490221 653628 980442 1960884 2966871961 5933743922 8900615883 11867487844 17801231766 26701847649 35602463532 53403695298 106807390596