100417381 has 2 divisors, whose sum is σ = 100417382. Its totient is φ = 100417380.

The previous prime is 100417313. The next prime is 100417391. The reversal of 100417381 is 183714001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96845281 + 3572100 = 9841^2 + 1890^2 .

It is an emirp because it is prime and its reverse (183714001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100417381 - 2¹⁷ = 100286309 is a prime.

It is a super-2 number, since 2×100417381² = 20167300813798322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100417391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50208690 + 50208691.

It is an arithmetic number, because the mean of its divisors is an integer number (50208691).

Almost surely, 2^100417381 is an apocalyptic number.

It is an amenable number.

100417381 is a deficient number, since it is larger than the sum of its proper divisors (1).

100417381 is an equidigital number, since it uses as much as digits as its factorization.

100417381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 100417381 is about 10020.8473194636. The cubic root of 100417381 is about 464.8037573276.

The spelling of 100417381 in words is "one hundred million, four hundred seventeen thousand, three hundred eighty-one".