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105562106417 is a prime number
BaseRepresentation
bin110001001001111111…
…1011110101000110001
3101002110210201121212002
41202103333132220301
53212142344401132
6120254454143345
710424633046125
oct1422377365061
9332423647762
10105562106417
1140850069a69
1218560651b55
139c53c5a081
145175a43585
152b2c6c6262
hex1893fdea31

105562106417 has 2 divisors, whose sum is σ = 105562106418. Its totient is φ = 105562106416.

The previous prime is 105562106393. The next prime is 105562106453. The reversal of 105562106417 is 714601265501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105541166641 + 20939776 = 324871^2 + 4576^2 .

It is an emirp because it is prime and its reverse (714601265501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105562106417 is a prime.

It is a super-2 number, since 2×1055621064172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105562106467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52781053208 + 52781053209.

It is an arithmetic number, because the mean of its divisors is an integer number (52781053209).

Almost surely, 2105562106417 is an apocalyptic number.

It is an amenable number.

105562106417 is a deficient number, since it is larger than the sum of its proper divisors (1).

105562106417 is an equidigital number, since it uses as much as digits as its factorization.

105562106417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 105562106417 in words is "one hundred five billion, five hundred sixty-two million, one hundred six thousand, four hundred seventeen".