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106157563903 is a prime number
BaseRepresentation
bin110001011011101111…
…0111101111111111111
3101011000022011222222001
41202313132331333333
53214402314021103
6120433525003131
710445453255566
oct1426736757777
9334008158861
10106157563903
11410261a4a96
12186a7b534a7
13a01a425191
1451d0b66bdd
152b64ae801d
hex18b77bdfff

106157563903 has 2 divisors, whose sum is σ = 106157563904. Its totient is φ = 106157563902.

The previous prime is 106157563871. The next prime is 106157563909. The reversal of 106157563903 is 309365751601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106157563903 - 25 = 106157563871 is a prime.

It is a super-2 number, since 2×1061575639032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106157563909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53078781951 + 53078781952.

It is an arithmetic number, because the mean of its divisors is an integer number (53078781952).

Almost surely, 2106157563903 is an apocalyptic number.

106157563903 is a deficient number, since it is larger than the sum of its proper divisors (1).

106157563903 is an equidigital number, since it uses as much as digits as its factorization.

106157563903 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 510300, while the sum is 46.

The spelling of 106157563903 in words is "one hundred six billion, one hundred fifty-seven million, five hundred sixty-three thousand, nine hundred three".