101864513 has 2 divisors, whose sum is σ = 101864514. Its totient is φ = 101864512.

The previous prime is 101864509. The next prime is 101864519. The reversal of 101864513 is 315468101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64128064 + 37736449 = 8008^2 + 6143^2 .

It is a cyclic number.

It is not a de Polignac number, because 101864513 - 2² = 101864509 is a prime.

It is not a weakly prime, because it can be changed into another prime (101864519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50932256 + 50932257.

It is an arithmetic number, because the mean of its divisors is an integer number (50932257).

Almost surely, 2^101864513 is an apocalyptic number.

It is an amenable number.

101864513 is a deficient number, since it is larger than the sum of its proper divisors (1).

101864513 is an equidigital number, since it uses as much as digits as its factorization.

101864513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 101864513 is about 10092.7951034389. The cubic root of 101864513 is about 467.0259054175.

The spelling of 101864513 in words is "one hundred one million, eight hundred sixty-four thousand, five hundred thirteen".