100105500561 has 32 divisors (see below), whose sum is σ = 146754871296. Its totient is φ = 60194016000.

The previous prime is 100105500503. The next prime is 100105500589. The reversal of 100105500561 is 165005501001.

It is not a de Polignac number, because 100105500561 - 2¹⁰ = 100105499537 is a prime.

It is a super-2 number, since 2×100105500561² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105504561) 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 31 ways as a sum of consecutive naturals, for example, 2132040 + ... + 2178486.

It is an arithmetic number, because the mean of its divisors is an integer number (4586089728).

Almost surely, 2^100105500561 is an apocalyptic number.

100105500561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100105500561 is a deficient number, since it is larger than the sum of its proper divisors (46649370735).

100105500561 is a wasteful number, since it uses less digits than its factorization.

100105500561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46973.

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

The spelling of 100105500561 in words is "one hundred billion, one hundred five million, five hundred thousand, five hundred sixty-one".