105501100100 has 72 divisors (see below), whose sum is σ = 250361580000. Its totient is φ = 38270073600.

The previous prime is 105501100097. The next prime is 105501100127. The reversal of 105501100100 is 1001105501.

It is a super-2 number, since 2×105501100100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332651 + ... + 567149.

Almost surely, 2^105501100100 is an apocalyptic number.

105501100100 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 105501100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125180790000).

105501100100 is an abundant number, since it is smaller than the sum of its proper divisors (144860479900).

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

105501100100 is a wasteful number, since it uses less digits than its factorization.

105501100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234933 (or 234926 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 105501100100 its reverse (1001105501), we get a palindrome (106502205601).

The spelling of 105501100100 in words is "one hundred five billion, five hundred one million, one hundred thousand, one hundred".