105011100 has 288 divisors, whose sum is σ = 374976000. Its totient is φ = 25090560.

The previous prime is 105011099. The next prime is 105011111. The reversal of 105011100 is 1110501.

It is a super-2 number, since 2×105011100² = 22054662246420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1179856 + ... + 1179944.

It is an arithmetic number, because the mean of its divisors is an integer number (1302000).

Almost surely, 2^105011100 is an apocalyptic number.

105011100 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 105011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

105011100 is an abundant number, since it is smaller than the sum of its proper divisors (269964900).

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

105011100 is a wasteful number, since it uses less digits than its factorization.

105011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 105011100 is about 10247.4923761865. The cubic root of 105011100 is about 471.7860217009.

Adding to 105011100 its reverse (1110501), we get a palindrome (106121601).

It can be divided in two parts, 105011 and 100, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 105011100 in words is "one hundred five million, eleven thousand, one hundred".