101461409 has 6 divisors (see below), whose sum is σ = 118026594. Its totient is φ = 86966880.

The previous prime is 101461403. The next prime is 101461433. The reversal of 101461409 is 904164101.

It can be written as a sum of positive squares in only one way, i.e., 77176225 + 24285184 = 8785^2 + 4928^2 .

It is not a de Polignac number, because 101461409 - 2⁸ = 101461153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101461403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1035272 + ... + 1035369.

It is an arithmetic number, because the mean of its divisors is an integer number (19671099).

Almost surely, 2^101461409 is an apocalyptic number.

It is an amenable number.

101461409 is a deficient number, since it is larger than the sum of its proper divisors (16565185).

101461409 is an equidigital number, since it uses as much as digits as its factorization.

101461409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070655 (or 2070648 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 101461409 is about 10072.8054185515. The cubic root of 101461409 is about 466.4090439170.

The spelling of 101461409 in words is "one hundred one million, four hundred sixty-one thousand, four hundred nine".