101054417 has 2 divisors, whose sum is σ = 101054418. Its totient is φ = 101054416.

The previous prime is 101054383. The next prime is 101054419. The reversal of 101054417 is 714450101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69739201 + 31315216 = 8351^2 + 5596^2 .

It is a cyclic number.

It is not a de Polignac number, because 101054417 - 2⁶ = 101054353 is a prime.

Together with 101054419, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101054392 and 101054401.

It is not a weakly prime, because it can be changed into another prime (101054419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50527208 + 50527209.

It is an arithmetic number, because the mean of its divisors is an integer number (50527209).

Almost surely, 2^101054417 is an apocalyptic number.

It is an amenable number.

101054417 is a deficient number, since it is larger than the sum of its proper divisors (1).

101054417 is an equidigital number, since it uses as much as digits as its factorization.

101054417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 101054417 is about 10052.5826034905. The cubic root of 101054417 is about 465.7845728884.

The spelling of 101054417 in words is "one hundred one million, fifty-four thousand, four hundred seventeen".