105000100 has 36 divisors (see below), whose sum is σ = 235207168. Its totient is φ = 40644000.

The previous prime is 105000073. The next prime is 105000107. The reversal of 105000100 is 1000501.

105000100 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105000100² = 22050042000020000, which contains 22 as substring.

105000100 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (105000107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13836 + ... + 20035.

Almost surely, 2^105000100 is an apocalyptic number.

105000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105000100 is an abundant number, since it is smaller than the sum of its proper divisors (130207068).

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

105000100 is a wasteful number, since it uses less digits than its factorization.

105000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33916 (or 33909 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 105000100 is about 10246.9556454588. The cubic root of 105000100 is about 471.7695477997.

Adding to 105000100 its reverse (1000501), we get a palindrome (106000601).

The spelling of 105000100 in words is "one hundred five million, one hundred", and thus it is an aban number.