Search a number
-
+
105562655629 is a prime number
BaseRepresentation
bin110001001010000000…
…1100100101110001101
3101002110211202112020021
41202110001210232031
53212143014440004
6120254514022141
710424640524254
oct1422401445615
9332424675207
10105562655629
1140850404662
1218560877951
139c540c0052
145175b4779b
152b2c783d54
hex1894064b8d

105562655629 has 2 divisors, whose sum is σ = 105562655630. Its totient is φ = 105562655628.

The previous prime is 105562655587. The next prime is 105562655659. The reversal of 105562655629 is 926556265501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97655000004 + 7907655625 = 312498^2 + 88925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105562655629 is a prime.

It is a super-2 number, since 2×1055626556292 (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 (105562655659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52781327814 + 52781327815.

It is an arithmetic number, because the mean of its divisors is an integer number (52781327815).

Almost surely, 2105562655629 is an apocalyptic number.

It is an amenable number.

105562655629 is a deficient number, since it is larger than the sum of its proper divisors (1).

105562655629 is an equidigital number, since it uses as much as digits as its factorization.

105562655629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860000, while the sum is 52.

The spelling of 105562655629 in words is "one hundred five billion, five hundred sixty-two million, six hundred fifty-five thousand, six hundred twenty-nine".