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106737375253 is a prime number
BaseRepresentation
bin110001101101000001…
…0110001100000010101
3101012111201012110121111
41203122002301200111
53222044232002003
6121011240215021
710466023501645
oct1433202614025
9335451173544
10106737375253
11412a3513923
121882a16a471
13a0b05a2812
145247b76525
152b9a978e6d
hex18da0b1815

106737375253 has 2 divisors, whose sum is σ = 106737375254. Its totient is φ = 106737375252.

The previous prime is 106737375221. The next prime is 106737375287. The reversal of 106737375253 is 352573737601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65567747844 + 41169627409 = 256062^2 + 202903^2 .

It is a cyclic number.

It is not a de Polignac number, because 106737375253 - 25 = 106737375221 is a prime.

It is a super-2 number, since 2×1067373752532 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106737375197 and 106737375206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106737375203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53368687626 + 53368687627.

It is an arithmetic number, because the mean of its divisors is an integer number (53368687627).

Almost surely, 2106737375253 is an apocalyptic number.

It is an amenable number.

106737375253 is a deficient number, since it is larger than the sum of its proper divisors (1).

106737375253 is an equidigital number, since it uses as much as digits as its factorization.

106737375253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2778300, while the sum is 49.

The spelling of 106737375253 in words is "one hundred six billion, seven hundred thirty-seven million, three hundred seventy-five thousand, two hundred fifty-three".