105055050100 has 288 divisors, whose sum is σ = 313215952896. Its totient is φ = 29521497600.

The previous prime is 105055050083. The next prime is 105055050187. The reversal of 105055050100 is 1050550501.

It is a super-2 number, since 2×105055050100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4292097 + ... + 4316503.

It is an arithmetic number, because the mean of its divisors is an integer number (1087555392).

Almost surely, 2^105055050100 is an apocalyptic number.

105055050100 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 105055050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156607976448).

105055050100 is an abundant number, since it is smaller than the sum of its proper divisors (208160902796).

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

105055050100 is a wasteful number, since it uses less digits than its factorization.

105055050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24495 (or 24488 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 22.

105055050100 divided by its reverse (1050550501) gives a square (100 = 10²).

It can be divided in two parts, 10505 and 5050100, that added together give a palindrome (5060605).

The spelling of 105055050100 in words is "one hundred five billion, fifty-five million, fifty thousand, one hundred".