100974382056689 has 2 divisors, whose sum is σ = 100974382056690. Its totient is φ = 100974382056688.

The previous prime is 100974382056649. The next prime is 100974382056703. The reversal of 100974382056689 is 986650283479001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84868166361664 + 16106215695025 = 9212392^2 + 4013255^2 .

It is a cyclic number.

It is not a de Polignac number, because 100974382056689 - 2³² = 100970087089393 is a prime.

It is not a weakly prime, because it can be changed into another prime (100974382056649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50487191028344 + 50487191028345.

It is an arithmetic number, because the mean of its divisors is an integer number (50487191028345).

It is a 1-persistent number, because it is pandigital, but 2⋅100974382056689 = 201948764113378 is not.

Almost surely, 2^{100974382056689} is an apocalyptic number.

It is an amenable number.

100974382056689 is a deficient number, since it is larger than the sum of its proper divisors (1).

100974382056689 is an equidigital number, since it uses as much as digits as its factorization.

100974382056689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 156764160, while the sum is 68.

The spelling of 100974382056689 in words is "one hundred trillion, nine hundred seventy-four billion, three hundred eighty-two million, fifty-six thousand, six hundred eighty-nine".