101864509 has 2 divisors, whose sum is σ = 101864510. Its totient is φ = 101864508.

The previous prime is 101864479. The next prime is 101864513. The reversal of 101864509 is 905468101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81812025 + 20052484 = 9045^2 + 4478^2 .

It is a cyclic number.

It is not a de Polignac number, because 101864509 - 2⁷ = 101864381 is a prime.

It is a super-2 number, since 2×101864509² = 20752756387622162, which contains 22 as substring.

It is equal to p_5862562 and since 101864509 and 5862562 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

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, 50932254 + 50932255.

It is an arithmetic number, because the mean of its divisors is an integer number (50932255).

Almost surely, 2^101864509 is an apocalyptic number.

It is an amenable number.

101864509 is a deficient number, since it is larger than the sum of its proper divisors (1).

101864509 is an equidigital number, since it uses as much as digits as its factorization.

101864509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 101864509 is about 10092.7949052777. The cubic root of 101864509 is about 467.0258993045.

The spelling of 101864509 in words is "one hundred one million, eight hundred sixty-four thousand, five hundred nine".