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106445955457 is a prime number
BaseRepresentation
bin110001100100010101…
…1000110000110000001
3101011202101211210210201
41203020223012012001
53221000131033312
6120522310125201
710455554456362
oct1431053060601
9334671753721
10106445955457
1141163a6a916
1218768650801
13a0650ba27a
14521b197b69
152b800b2557
hex18c8ac6181

106445955457 has 2 divisors, whose sum is σ = 106445955458. Its totient is φ = 106445955456.

The previous prime is 106445955431. The next prime is 106445955463. The reversal of 106445955457 is 754559544601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103179718656 + 3266236801 = 321216^2 + 57151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106445955457 is a prime.

It is a super-2 number, since 2×1064459554572 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106445955398 and 106445955407.

It is not a weakly prime, because it can be changed into another prime (106445955467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53222977728 + 53222977729.

It is an arithmetic number, because the mean of its divisors is an integer number (53222977729).

Almost surely, 2106445955457 is an apocalyptic number.

It is an amenable number.

106445955457 is a deficient number, since it is larger than the sum of its proper divisors (1).

106445955457 is an equidigital number, since it uses as much as digits as its factorization.

106445955457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120000, while the sum is 55.

The spelling of 106445955457 in words is "one hundred six billion, four hundred forty-five million, nine hundred fifty-five thousand, four hundred fifty-seven".