101506733 has 2 divisors, whose sum is σ = 101506734. Its totient is φ = 101506732.

The previous prime is 101506729. The next prime is 101506753. The reversal of 101506733 is 337605101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84309124 + 17197609 = 9182^2 + 4147^2 .

It is an emirp because it is prime and its reverse (337605101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101506733 - 2² = 101506729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101506753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50753366 + 50753367.

It is an arithmetic number, because the mean of its divisors is an integer number (50753367).

Almost surely, 2^101506733 is an apocalyptic number.

It is an amenable number.

101506733 is a deficient number, since it is larger than the sum of its proper divisors (1).

101506733 is an equidigital number, since it uses as much as digits as its factorization.

101506733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 101506733 is about 10075.0549874430. The cubic root of 101506733 is about 466.4784837061.

The spelling of 101506733 in words is "one hundred one million, five hundred six thousand, seven hundred thirty-three".