106100505501 has 8 divisors (see below), whose sum is σ = 141967226400. Its totient is φ = 70483727472.

The previous prime is 106100505457. The next prime is 106100505503. The reversal of 106100505501 is 105505001601.

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

It is not a de Polignac number, because 106100505501 - 2¹³ = 106100497309 is a prime.

It is a super-4 number, since 4×106100505501⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106100505503) 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, 62484726 + ... + 62486423.

It is an arithmetic number, because the mean of its divisors is an integer number (17745903300).

Almost surely, 2^106100505501 is an apocalyptic number.

It is an amenable number.

106100505501 is a deficient number, since it is larger than the sum of its proper divisors (35866720899).

106100505501 is a wasteful number, since it uses less digits than its factorization.

106100505501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124971435.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 106100505501 in words is "one hundred six billion, one hundred million, five hundred five thousand, five hundred one".