101372743 has 2 divisors, whose sum is σ = 101372744. Its totient is φ = 101372742.

The previous prime is 101372741. The next prime is 101372767. The reversal of 101372743 is 347273101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101372743 - 2¹ = 101372741 is a prime.

Together with 101372741, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101372741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50686371 + 50686372.

It is an arithmetic number, because the mean of its divisors is an integer number (50686372).

Almost surely, 2^101372743 is an apocalyptic number.

101372743 is a deficient number, since it is larger than the sum of its proper divisors (1).

101372743 is an equidigital number, since it uses as much as digits as its factorization.

101372743 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 101372743 is about 10068.4032001107. The cubic root of 101372743 is about 466.2731410911.

It can be divided in two parts, 10137 and 2743, that added together give a triangular number (12880 = T₁₆₀).

The spelling of 101372743 in words is "one hundred one million, three hundred seventy-two thousand, seven hundred forty-three".