106105000 has 40 divisors (see below), whose sum is σ = 248615730. Its totient is φ = 42440000.

The previous prime is 106104967. The next prime is 106105039. The reversal of 106105000 is 501601.

It can be written as a sum of positive squares in 5 ways, for example, as 16499844 + 89605156 = 4062^2 + 9466^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106105000² = 22516542050000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5611 + ... + 15610.

Almost surely, 2^106105000 is an apocalyptic number.

106105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106105000 is an abundant number, since it is smaller than the sum of its proper divisors (142510730).

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

106105000 is an equidigital number, since it uses as much as digits as its factorization.

106105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21247 (or 21228 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 106105000 is about 10300.7281296033. The cubic root of 106105000 is about 473.4185634175.

Adding to 106105000 its reverse (501601), we get a palindrome (106606601).

The spelling of 106105000 in words is "one hundred six million, one hundred five thousand".