101440957 has 2 divisors, whose sum is σ = 101440958. Its totient is φ = 101440956.

The previous prime is 101440919. The next prime is 101440967. The reversal of 101440957 is 759044101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72829156 + 28611801 = 8534^2 + 5349^2 .

It is a cyclic number.

It is not a de Polignac number, because 101440957 - 2¹⁵ = 101408189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101440967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50720478 + 50720479.

It is an arithmetic number, because the mean of its divisors is an integer number (50720479).

Almost surely, 2^101440957 is an apocalyptic number.

It is an amenable number.

101440957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101440957 is an equidigital number, since it uses as much as digits as its factorization.

101440957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 101440957 is about 10071.7901586560. The cubic root of 101440957 is about 466.3777031380.

The spelling of 101440957 in words is "one hundred one million, four hundred forty thousand, nine hundred fifty-seven".