101353005 has 32 divisors (see below), whose sum is σ = 194046720. Its totient is φ = 49896000.

The previous prime is 101353001. The next prime is 101353033. The reversal of 101353005 is 500353101.

It is a happy number.

It is not a de Polignac number, because 101353005 - 2² = 101353001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101353001) 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 31 ways as a sum of consecutive naturals, for example, 27121 + ... + 30630.

It is an arithmetic number, because the mean of its divisors is an integer number (6063960).

Almost surely, 2^101353005 is an apocalyptic number.

101353005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101353005 is a deficient number, since it is larger than the sum of its proper divisors (92693715).

101353005 is a wasteful number, since it uses less digits than its factorization.

101353005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57778 (or 57772 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 101353005 is about 10067.4229572418. The cubic root of 101353005 is about 466.2428768854.

The spelling of 101353005 in words is "one hundred one million, three hundred fifty-three thousand, five".