Search a number
-
+
106632937 is a prime number
BaseRepresentation
bin1100101101100…
…01011011101001
321102122111220001
412112301123221
5204244223222
614325303001
72433236125
oct626613351
9242574801
10106632937
11552119a4
122b864a61
1319126918
141023a585
159564e27
hex65b16e9

106632937 has 2 divisors, whose sum is σ = 106632938. Its totient is φ = 106632936.

The previous prime is 106632931. The next prime is 106632949. The reversal of 106632937 is 739236601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106584976 + 47961 = 10324^2 + 219^2 .

It is a cyclic number.

It is not a de Polignac number, because 106632937 - 211 = 106630889 is a prime.

It is a super-2 number, since 2×1066329372 = 22741166506491938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106632896 and 106632905.

It is not a weakly prime, because it can be changed into another prime (106632931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53316468 + 53316469.

It is an arithmetic number, because the mean of its divisors is an integer number (53316469).

Almost surely, 2106632937 is an apocalyptic number.

It is an amenable number.

106632937 is a deficient number, since it is larger than the sum of its proper divisors (1).

106632937 is an equidigital number, since it uses as much as digits as its factorization.

106632937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 106632937 is about 10326.3225303106. The cubic root of 106632937 is about 474.2024466514.

The spelling of 106632937 in words is "one hundred six million, six hundred thirty-two thousand, nine hundred thirty-seven".