100105500110556 has 48 divisors (see below), whose sum is σ = 239436114470784. Its totient is φ = 32534597570496.

The previous prime is 100105500110533. The next prime is 100105500110579. The reversal of 100105500110556 is 655011005501001.

It is an interprime number because it is at equal distance from previous prime (100105500110533) and next prime (100105500110579).

It is a super-2 number, since 2×100105500110556² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172003371 + ... + 172584386.

It is an arithmetic number, because the mean of its divisors is an integer number (4988252384808).

Almost surely, 2^{100105500110556} is an apocalyptic number.

It is an amenable number.

100105500110556 is an abundant number, since it is smaller than the sum of its proper divisors (139330614360228).

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

100105500110556 is a wasteful number, since it uses less digits than its factorization.

100105500110556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344588370 (or 344588368 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

Adding to 100105500110556 its reverse (655011005501001), we get a palindrome (755116505611557).

The spelling of 100105500110556 in words is "one hundred trillion, one hundred five billion, five hundred million, one hundred ten thousand, five hundred fifty-six".