106000000000501 has 8 divisors (see below), whose sum is σ = 107738927876664. Its totient is φ = 104261111574720.

The previous prime is 106000000000463. The next prime is 106000000000507. The reversal of 106000000000501 is 105000000000601.

It can be written as a sum of positive squares in 4 ways, for example, as 42004912401 + 105957995088100 = 204951^2 + 10293590^2 .

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 106000000000501 - 2³⁵ = 105965640262133 is a prime.

It is a super-2 number, since 2×106000000000501² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000000000507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4420246 + ... + 15216391.

It is an arithmetic number, because the mean of its divisors is an integer number (13467365984583).

Almost surely, 2^{106000000000501} is an apocalyptic number.

It is an amenable number.

106000000000501 is a deficient number, since it is larger than the sum of its proper divisors (1738927876163).

106000000000501 is an equidigital number, since it uses as much as digits as its factorization.

106000000000501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19725191.

The product of its (nonzero) digits is 30, while the sum is 13.

The spelling of 106000000000501 in words is "one hundred six trillion, five hundred one", and thus it is an aban number.