106100606100501 has 24 divisors (see below), whose sum is σ = 153386651125760. Its totient is φ = 70673643331200.

The previous prime is 106100606100443. The next prime is 106100606100563. The reversal of 106100606100501 is 105001606001601.

106100606100501 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 0 + 606 + 1 + 0 + 0 + 50 + 1 = 666.

It is not a de Polignac number, because 106100606100501 - 2²⁵ = 106100572546069 is a prime.

It is a super-2 number, since 2×106100606100501² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106100606102501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173753046 + ... + 174362616.

Almost surely, 2^{106100606100501} is an apocalyptic number.

It is an amenable number.

106100606100501 is a deficient number, since it is larger than the sum of its proper divisors (47286045025259).

106100606100501 is a wasteful number, since it uses less digits than its factorization.

106100606100501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625977 (or 625974 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 106100606100501 in words is "one hundred six trillion, one hundred billion, six hundred six million, one hundred thousand, five hundred one".