105550111100 has 108 divisors (see below), whose sum is σ = 266619435264. Its totient is φ = 36164056320.

The previous prime is 105550111061. The next prime is 105550111103. The reversal of 105550111100 is 1111055501.

It is a super-2 number, since 2×105550111100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105550111103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8142224 + ... + 8155176.

Almost surely, 2^105550111100 is an apocalyptic number.

105550111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105550111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133309717632).

105550111100 is an abundant number, since it is smaller than the sum of its proper divisors (161069324164).

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

105550111100 is a wasteful number, since it uses less digits than its factorization.

105550111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14644 (or 14630 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 20.

Adding to 105550111100 its reverse (1111055501), we get a palindrome (106661166601).

It can be divided in two parts, 1055501 and 11100, that added together give a palindrome (1066601).

The spelling of 105550111100 in words is "one hundred five billion, five hundred fifty million, one hundred eleven thousand, one hundred".