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106657182925 = 5224117702437
BaseRepresentation
bin110001101010101000…
…0110111010011001101
3101012022010022021102021
41203111100313103031
53221413214323200
6120555253330141
710464031045036
oct1432520672315
9335263267367
10106657182925
1141262221177
1218807336951
13a099aa5a37
14523b25da8d
152b938d841a
hex18d54374cd

106657182925 has 12 divisors (see below), whose sum is σ = 132803689876. Its totient is φ = 84971692800.

The previous prime is 106657182923. The next prime is 106657182941. The reversal of 106657182925 is 529281756601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6192273481 + 100464909444 = 78691^2 + 316962^2 .

It is not a de Polignac number, because 106657182925 - 21 = 106657182923 is a prime.

It is a super-2 number, since 2×1066571829252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106657182923) 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 11 ways as a sum of consecutive naturals, for example, 8845194 + ... + 8857243.

Almost surely, 2106657182925 is an apocalyptic number.

It is an amenable number.

106657182925 is a deficient number, since it is larger than the sum of its proper divisors (26146506951).

106657182925 is a wasteful number, since it uses less digits than its factorization.

106657182925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17702688 (or 17702683 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 106657182925 in words is "one hundred six billion, six hundred fifty-seven million, one hundred eighty-two thousand, nine hundred twenty-five".

Divisors: 1 5 25 241 1205 6025 17702437 88512185 442560925 4266287317 21331436585 106657182925