100496657 has 2 divisors, whose sum is σ = 100496658. Its totient is φ = 100496656.

The previous prime is 100496653. The next prime is 100496659. The reversal of 100496657 is 756694001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92179201 + 8317456 = 9601^2 + 2884^2 .

It is a cyclic number.

It is not a de Polignac number, because 100496657 - 2² = 100496653 is a prime.

Together with 100496659, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100496657.

It is not a weakly prime, because it can be changed into another prime (100496653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50248328 + 50248329.

It is an arithmetic number, because the mean of its divisors is an integer number (50248329).

Almost surely, 2^100496657 is an apocalyptic number.

It is an amenable number.

100496657 is a deficient number, since it is larger than the sum of its proper divisors (1).

100496657 is an equidigital number, since it uses as much as digits as its factorization.

100496657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 100496657 is about 10024.8020928096. The cubic root of 100496657 is about 464.9260405746.

The spelling of 100496657 in words is "one hundred million, four hundred ninety-six thousand, six hundred fifty-seven".