100056105501 has 16 divisors (see below), whose sum is σ = 147289605120. Its totient is φ = 59909459120.

The previous prime is 100056105451. The next prime is 100056105509. The reversal of 100056105501 is 105501650001.

It is a cyclic number.

It is not a de Polignac number, because 100056105501 - 2¹⁵ = 100056072733 is a prime.

It is a super-2 number, since 2×100056105501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100056105509) 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 15 ways as a sum of consecutive naturals, for example, 18262341 + ... + 18267818.

It is an arithmetic number, because the mean of its divisors is an integer number (9205600320).

Almost surely, 2^100056105501 is an apocalyptic number.

100056105501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100056105501 is a deficient number, since it is larger than the sum of its proper divisors (47233499619).

100056105501 is a wasteful number, since it uses less digits than its factorization.

100056105501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36530256.

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

Adding to 100056105501 its reverse (105501650001), we get a palindrome (205557755502).

The spelling of 100056105501 in words is "one hundred billion, fifty-six million, one hundred five thousand, five hundred one".