Search a number
-
+
106574672933 is a prime number
BaseRepresentation
bin110001101000001011…
…0000111010000100101
3101012002101001022222122
41203100112013100211
53221231104013213
6120543145035325
710462006526111
oct1432026072045
9335071038878
10106574672933
114121a6961a3
12187a3785b45
13a085977061
145230302741
152b8b53ad08
hex18d0587425

106574672933 has 2 divisors, whose sum is σ = 106574672934. Its totient is φ = 106574672932.

The previous prime is 106574672927. The next prime is 106574672957. The reversal of 106574672933 is 339276475601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94892954209 + 11681718724 = 308047^2 + 108082^2 .

It is a cyclic number.

It is not a de Polignac number, because 106574672933 - 24 = 106574672917 is a prime.

It is a super-2 number, since 2×1065746729332 (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 (106574612933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53287336466 + 53287336467.

It is an arithmetic number, because the mean of its divisors is an integer number (53287336467).

Almost surely, 2106574672933 is an apocalyptic number.

It is an amenable number.

106574672933 is a deficient number, since it is larger than the sum of its proper divisors (1).

106574672933 is an equidigital number, since it uses as much as digits as its factorization.

106574672933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5715360, while the sum is 53.

The spelling of 106574672933 in words is "one hundred six billion, five hundred seventy-four million, six hundred seventy-two thousand, nine hundred thirty-three".