105868100 has 144 divisors (see below), whose sum is σ = 265982976. Its totient is φ = 36288000.

The previous prime is 105868097. The next prime is 105868141. The reversal of 105868100 is 1868501.

It is a super-2 number, since 2×105868100² = 22416109195220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491065 + ... + 1491135.

It is an arithmetic number, because the mean of its divisors is an integer number (1847104).

Almost surely, 2^105868100 is an apocalyptic number.

105868100 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 105868100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132991488).

105868100 is an abundant number, since it is smaller than the sum of its proper divisors (160114876).

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

105868100 is a wasteful number, since it uses less digits than its factorization.

105868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 105868100 is about 10289.2225167891. Note that the first 3 decimals coincide. The cubic root of 105868100 is about 473.0659679412.

The spelling of 105868100 in words is "one hundred five million, eight hundred sixty-eight thousand, one hundred".