101627381 has 2 divisors, whose sum is σ = 101627382. Its totient is φ = 101627380.

The previous prime is 101627353. The next prime is 101627399. The reversal of 101627381 is 183726101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57138481 + 44488900 = 7559^2 + 6670^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101627381 is a prime.

It is a super-4 number, since 4×101627381⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101627321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50813690 + 50813691.

It is an arithmetic number, because the mean of its divisors is an integer number (50813691).

Almost surely, 2^101627381 is an apocalyptic number.

It is an amenable number.

101627381 is a deficient number, since it is larger than the sum of its proper divisors (1).

101627381 is an equidigital number, since it uses as much as digits as its factorization.

101627381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 101627381 is about 10081.0406704864. The cubic root of 101627381 is about 466.6632248612.

The spelling of 101627381 in words is "one hundred one million, six hundred twenty-seven thousand, three hundred eighty-one".