101688493 has 2 divisors, whose sum is σ = 101688494. Its totient is φ = 101688492.

The previous prime is 101688491. The next prime is 101688527. The reversal of 101688493 is 394886101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57426084 + 44262409 = 7578^2 + 6653^2 .

It is a cyclic number.

It is not a de Polignac number, because 101688493 - 2¹ = 101688491 is a prime.

It is a super-2 number, since 2×101688493² = 20681099217222098, which contains 22 as substring.

Together with 101688491, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101688491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50844246 + 50844247.

It is an arithmetic number, because the mean of its divisors is an integer number (50844247).

Almost surely, 2^101688493 is an apocalyptic number.

It is an amenable number.

101688493 is a deficient number, since it is larger than the sum of its proper divisors (1).

101688493 is an equidigital number, since it uses as much as digits as its factorization.

101688493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 101688493 is about 10084.0712512358. The cubic root of 101688493 is about 466.7567462732.

The spelling of 101688493 in words is "one hundred one million, six hundred eighty-eight thousand, four hundred ninety-three".