101085003 has 20 divisors (see below), whose sum is σ = 152924640. Its totient is φ = 66532752.

The previous prime is 101085001. The next prime is 101085011. The reversal of 101085003 is 300580101.

It is a happy number.

It is not a de Polignac number, because 101085003 - 2¹ = 101085001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101085001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1500 + ... + 14297.

It is an arithmetic number, because the mean of its divisors is an integer number (7646232).

Almost surely, 2^101085003 is an apocalyptic number.

101085003 is a deficient number, since it is larger than the sum of its proper divisors (51839637).

101085003 is an equidigital number, since it uses as much as digits as its factorization.

101085003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15888 (or 15879 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101085003 is about 10054.1037890008. The cubic root of 101085003 is about 465.8315609379.

The spelling of 101085003 in words is "one hundred one million, eighty-five thousand, three".