101901005 has 8 divisors (see below), whose sum is σ = 122700312. Its totient is φ = 81241408.

The previous prime is 101901001. The next prime is 101901053. The reversal of 101901005 is 500109101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44049769 + 57851236 = 6637^2 + 7606^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101901005 - 2² = 101901001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101901001) 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 in 7 ways as a sum of consecutive naturals, for example, 33314 + ... + 36243.

It is an arithmetic number, because the mean of its divisors is an integer number (15337539).

Almost surely, 2^101901005 is an apocalyptic number.

It is an amenable number.

101901005 is a deficient number, since it is larger than the sum of its proper divisors (20799307).

101901005 is an equidigital number, since it uses as much as digits as its factorization.

101901005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69855.

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 101901005 is about 10094.6027658348. The cubic root of 101901005 is about 467.0816679662.

The spelling of 101901005 in words is "one hundred one million, nine hundred one thousand, five".