100506797 has 2 divisors, whose sum is σ = 100506798. Its totient is φ = 100506796.

The previous prime is 100506773. The next prime is 100506799. The reversal of 100506797 is 797605001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88472836 + 12033961 = 9406^2 + 3469^2 .

It is an emirp because it is prime and its reverse (797605001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100506797 - 2¹⁰ = 100505773 is a prime.

Together with 100506799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100506799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50253398 + 50253399.

It is an arithmetic number, because the mean of its divisors is an integer number (50253399).

Almost surely, 2^100506797 is an apocalyptic number.

It is an amenable number.

100506797 is a deficient number, since it is larger than the sum of its proper divisors (1).

100506797 is an equidigital number, since it uses as much as digits as its factorization.

100506797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 100506797 is about 10025.3078256979. The cubic root of 100506797 is about 464.9416768875.

The spelling of 100506797 in words is "one hundred million, five hundred six thousand, seven hundred ninety-seven".