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106362525653 is a prime number
BaseRepresentation
bin110001100001110110…
…0110101011111010101
3101011112120212010121222
41203003230311133111
53220312301310103
6120510130020125
710453522356656
oct1430354653725
9334476763558
10106362525653
114112096686a
1218744717645
13a050a28a17
14521007b52d
152b77ad2638
hex18c3b357d5

106362525653 has 2 divisors, whose sum is σ = 106362525654. Its totient is φ = 106362525652.

The previous prime is 106362525631. The next prime is 106362525701. The reversal of 106362525653 is 356525263601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100909146244 + 5453379409 = 317662^2 + 73847^2 .

It is a cyclic number.

It is not a de Polignac number, because 106362525653 - 214 = 106362509269 is a prime.

It is a super-2 number, since 2×1063625256532 (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 (106362525623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53181262826 + 53181262827.

It is an arithmetic number, because the mean of its divisors is an integer number (53181262827).

Almost surely, 2106362525653 is an apocalyptic number.

It is an amenable number.

106362525653 is a deficient number, since it is larger than the sum of its proper divisors (1).

106362525653 is an equidigital number, since it uses as much as digits as its factorization.

106362525653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972000, while the sum is 44.

The spelling of 106362525653 in words is "one hundred six billion, three hundred sixty-two million, five hundred twenty-five thousand, six hundred fifty-three".