101085431 has 2 divisors, whose sum is σ = 101085432. Its totient is φ = 101085430.

The previous prime is 101085421. The next prime is 101085449. The reversal of 101085431 is 134580101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101085431 - 2⁶ = 101085367 is a prime.

It is a super-2 number, since 2×101085431² = 20436528720911522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 101085397 and 101085406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101085421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50542715 + 50542716.

It is an arithmetic number, because the mean of its divisors is an integer number (50542716).

Almost surely, 2^101085431 is an apocalyptic number.

101085431 is a deficient number, since it is larger than the sum of its proper divisors (1).

101085431 is an equidigital number, since it uses as much as digits as its factorization.

101085431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 101085431 is about 10054.1250738192. The cubic root of 101085431 is about 465.8322183900.

The spelling of 101085431 in words is "one hundred one million, eighty-five thousand, four hundred thirty-one".