146105000 has 40 divisors (see below), whose sum is σ = 342335730. Its totient is φ = 58440000.

The previous prime is 146104979. The next prime is 146105009. The reversal of 146105000 is 501641.

It is a happy number.

146105000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 6061444 + 140043556 = 2462^2 + 11834^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 146105000.

It is not an unprimeable number, because it can be changed into a prime (146105009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9611 + ... + 19610.

Almost surely, 2^146105000 is an apocalyptic number.

146105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146105000 is an abundant number, since it is smaller than the sum of its proper divisors (196230730).

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

146105000 is an equidigital number, since it uses as much as digits as its factorization.

146105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29247 (or 29228 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 146105000 is about 12087.3901235957. The cubic root of 146105000 is about 526.6899436026.

Adding to 146105000 its reverse (501641), we get a palindrome (146606641).

The spelling of 146105000 in words is "one hundred forty-six million, one hundred five thousand".