100165381 has 2 divisors, whose sum is σ = 100165382. Its totient is φ = 100165380.

The previous prime is 100165301. The next prime is 100165423. The reversal of 100165381 is 183561001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98109025 + 2056356 = 9905^2 + 1434^2 .

It is a cyclic number.

It is not a de Polignac number, because 100165381 - 2¹⁹ = 99641093 is a prime.

It is a super-2 number, since 2×100165381² = 20066207101750322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100165301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50082690 + 50082691.

It is an arithmetic number, because the mean of its divisors is an integer number (50082691).

Almost surely, 2^100165381 is an apocalyptic number.

It is an amenable number.

100165381 is a deficient number, since it is larger than the sum of its proper divisors (1).

100165381 is an equidigital number, since it uses as much as digits as its factorization.

100165381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 100165381 is about 10008.2656339648. The cubic root of 100165381 is about 464.4146193011.

The spelling of 100165381 in words is "one hundred million, one hundred sixty-five thousand, three hundred eighty-one".