Search a number
-
+
105050604977 is a prime number
BaseRepresentation
bin110000111010110000…
…0010000010110110001
3101001011011020122210022
41201311200100112301
53210120423324402
6120132023013225
710406152260233
oct1416540202661
9331134218708
10105050604977
11406083673aa
121843929a215
139ba1ca8bb6
145127b36253
152aec83a2a2
hex18758105b1

105050604977 has 2 divisors, whose sum is σ = 105050604978. Its totient is φ = 105050604976.

The previous prime is 105050604949. The next prime is 105050605003. The reversal of 105050604977 is 779406050501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65982710641 + 39067894336 = 256871^2 + 197656^2 .

It is a cyclic number.

It is not a de Polignac number, because 105050604977 - 216 = 105050539441 is a prime.

It is a super-2 number, since 2×1050506049772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105050604577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52525302488 + 52525302489.

It is an arithmetic number, because the mean of its divisors is an integer number (52525302489).

Almost surely, 2105050604977 is an apocalyptic number.

It is an amenable number.

105050604977 is a deficient number, since it is larger than the sum of its proper divisors (1).

105050604977 is an equidigital number, since it uses as much as digits as its factorization.

105050604977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 105050604977 in words is "one hundred five billion, fifty million, six hundred four thousand, nine hundred seventy-seven".