106261733 has 2 divisors, whose sum is σ = 106261734. Its totient is φ = 106261732.

The previous prime is 106261717. The next prime is 106261751. The reversal of 106261733 is 337162601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68525284 + 37736449 = 8278^2 + 6143^2 .

It is an emirp because it is prime and its reverse (337162601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106261733 - 2⁴ = 106261717 is a prime.

It is a super-2 number, since 2×106261733² = 22583111800326578, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106261696 and 106261705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106261763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53130866 + 53130867.

It is an arithmetic number, because the mean of its divisors is an integer number (53130867).

Almost surely, 2^106261733 is an apocalyptic number.

It is an amenable number.

106261733 is a deficient number, since it is larger than the sum of its proper divisors (1).

106261733 is an equidigital number, since it uses as much as digits as its factorization.

106261733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 106261733 is about 10308.3331824306. Note that the first 3 decimals coincide. The cubic root of 106261733 is about 473.6515521445.

The spelling of 106261733 in words is "one hundred six million, two hundred sixty-one thousand, seven hundred thirty-three".