101506053 has 20 divisors (see below), whose sum is σ = 148939040. Its totient is φ = 61492200.

The previous prime is 101506051. The next prime is 101506063. The reversal of 101506053 is 350605101.

It is a happy number.

It is not a de Polignac number, because 101506053 - 2¹ = 101506051 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 (101506051) 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 19 ways as a sum of consecutive naturals, for example, 42768 + ... + 45078.

It is an arithmetic number, because the mean of its divisors is an integer number (7446952).

Almost surely, 2^101506053 is an apocalyptic number.

It is an amenable number.

101506053 is a deficient number, since it is larger than the sum of its proper divisors (47432987).

101506053 is an frugal number, since it uses more digits than its factorization.

101506053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 101506053 is about 10075.0212406724. The cubic root of 101506053 is about 466.4774420475.

The spelling of 101506053 in words is "one hundred one million, five hundred six thousand, fifty-three".