101406953 has 2 divisors, whose sum is σ = 101406954. Its totient is φ = 101406952.

The previous prime is 101406947. The next prime is 101406961. The reversal of 101406953 is 359604101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84695209 + 16711744 = 9203^2 + 4088^2 .

It is a cyclic number.

It is not a de Polignac number, because 101406953 - 2⁴ = 101406937 is a prime.

It is not a weakly prime, because it can be changed into another prime (101406913) 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, 50703476 + 50703477.

It is an arithmetic number, because the mean of its divisors is an integer number (50703477).

Almost surely, 2^101406953 is an apocalyptic number.

It is an amenable number.

101406953 is a deficient number, since it is larger than the sum of its proper divisors (1).

101406953 is an equidigital number, since it uses as much as digits as its factorization.

101406953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 101406953 is about 10070.1019359290. The cubic root of 101406953 is about 466.3255858598.

The spelling of 101406953 in words is "one hundred one million, four hundred six thousand, nine hundred fifty-three".