Search a number
-
+
10106005621 is a prime number
BaseRepresentation
bin10010110100101110…
…10110100001110101
3222002022020021111111
421122113112201311
5131144114134441
64350450435021
7505302426145
oct113227264165
928068207444
1010106005621
114316638668
121b60592a71
13c509546aa
146bc278925
153e234c081
hex25a5d6875

10106005621 has 2 divisors, whose sum is σ = 10106005622. Its totient is φ = 10106005620.

The previous prime is 10106005607. The next prime is 10106005631. The reversal of 10106005621 is 12650060101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8107021521 + 1998984100 = 90039^2 + 44710^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106005621 - 29 = 10106005109 is a prime.

It is a super-2 number, since 2×101060056212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10106005592 and 10106005601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10106005631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053002810 + 5053002811.

It is an arithmetic number, because the mean of its divisors is an integer number (5053002811).

Almost surely, 210106005621 is an apocalyptic number.

It is an amenable number.

10106005621 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106005621 is an equidigital number, since it uses as much as digits as its factorization.

10106005621 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 10106005621 its reverse (12650060101), we get a palindrome (22756065722).

The spelling of 10106005621 in words is "ten billion, one hundred six million, five thousand, six hundred twenty-one".