100105560561100 has 36 divisors (see below), whose sum is σ = 217229786903808. Its totient is φ = 40042091416000.

The previous prime is 100105560561089. The next prime is 100105560561101. The reversal of 100105560561100 is 1165065501001.

It is a super-2 number, since 2×100105560561100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105560561101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32045685 + ... + 35030515.

It is an arithmetic number, because the mean of its divisors is an integer number (6034160747328).

Almost surely, 2^{100105560561100} is an apocalyptic number.

100105560561100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105560561100 is an abundant number, since it is smaller than the sum of its proper divisors (117124226342708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100105560561100 is a wasteful number, since it uses less digits than its factorization.

100105560561100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320226 (or 3320219 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 100105560561100 in words is "one hundred trillion, one hundred five billion, five hundred sixty million, five hundred sixty-one thousand, one hundred".