101506051673 has 8 divisors (see below), whose sum is σ = 109720585800. Its totient is φ = 93349571328.

The previous prime is 101506051667. The next prime is 101506051709. The reversal of 101506051673 is 376150605101.

It can be written as a sum of positive squares in 4 ways, for example, as 605799769 + 100900251904 = 24613^2 + 317648^2 .

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

It is not a de Polignac number, because 101506051673 - 2⁴ = 101506051657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101506051663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14509808 + ... + 14516801.

It is an arithmetic number, because the mean of its divisors is an integer number (13715073225).

Almost surely, 2^101506051673 is an apocalyptic number.

101506051673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101506051673 is a deficient number, since it is larger than the sum of its proper divisors (8214534127).

101506051673 is a wasteful number, since it uses less digits than its factorization.

101506051673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29026891.

The product of its (nonzero) digits is 18900, while the sum is 35.

Adding to 101506051673 its reverse (376150605101), we get a palindrome (477656656774).

The spelling of 101506051673 in words is "one hundred one billion, five hundred six million, fifty-one thousand, six hundred seventy-three".