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106252085701 is a prime number
BaseRepresentation
bin110001011110100011…
…1100010100111000101
3101011020220001012111101
41202331013202213011
53220101013220301
6120451142540101
710451011553416
oct1427507424705
9334226035441
10106252085701
1141074594683
1218713737631
13a033b9b338
1451dd52d80d
152b6d069701
hex18bd1e29c5

106252085701 has 2 divisors, whose sum is σ = 106252085702. Its totient is φ = 106252085700.

The previous prime is 106252085683. The next prime is 106252085711. The reversal of 106252085701 is 107580252601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105983453601 + 268632100 = 325551^2 + 16390^2 .

It is a cyclic number.

It is not a de Polignac number, because 106252085701 - 221 = 106249988549 is a prime.

It is a super-2 number, since 2×1062520857012 (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 (106252085711) 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 as a sum of consecutive naturals, namely, 53126042850 + 53126042851.

It is an arithmetic number, because the mean of its divisors is an integer number (53126042851).

Almost surely, 2106252085701 is an apocalyptic number.

It is an amenable number.

106252085701 is a deficient number, since it is larger than the sum of its proper divisors (1).

106252085701 is an equidigital number, since it uses as much as digits as its factorization.

106252085701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 106252085701 in words is "one hundred six billion, two hundred fifty-two million, eighty-five thousand, seven hundred one".