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106021635541 is a prime number
BaseRepresentation
bin110001010111101100…
…0011100010111010101
3101010122211102010022021
41202233120130113111
53214113014314131
6120412231333141
710442213014153
oct1425730342725
9333584363267
10106021635541
1140a664a3aa8
121866a5211b1
139cc82121b3
1451baaa23d3
152b57be7e11
hex18af61c5d5

106021635541 has 2 divisors, whose sum is σ = 106021635542. Its totient is φ = 106021635540.

The previous prime is 106021635497. The next prime is 106021635547. The reversal of 106021635541 is 145536120601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98672002641 + 7349632900 = 314121^2 + 85730^2 .

It is a cyclic number.

It is not a de Polignac number, because 106021635541 - 221 = 106019538389 is a prime.

It is a super-2 number, since 2×1060216355412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106021635497 and 106021635506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106021635547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53010817770 + 53010817771.

It is an arithmetic number, because the mean of its divisors is an integer number (53010817771).

Almost surely, 2106021635541 is an apocalyptic number.

It is an amenable number.

106021635541 is a deficient number, since it is larger than the sum of its proper divisors (1).

106021635541 is an equidigital number, since it uses as much as digits as its factorization.

106021635541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 106021635541 in words is "one hundred six billion, twenty-one million, six hundred thirty-five thousand, five hundred forty-one".