213146100 has 144 divisors (see below), whose sum is σ = 693705600. Its totient is φ = 56136960.

The previous prime is 213146093. The next prime is 213146117. The reversal of 213146100 is 1641312.

It is a happy number.

213146100 is a `hidden beast` number, since 21 + 31 + 4 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 239857 + ... + 240743.

It is an arithmetic number, because the mean of its divisors is an integer number (4817400).

Almost surely, 2^213146100 is an apocalyptic number.

213146100 is a gapful number since it is divisible by the number (20) 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 213146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346852800).

213146100 is an abundant number, since it is smaller than the sum of its proper divisors (480559500).

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

213146100 is a wasteful number, since it uses less digits than its factorization.

213146100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 213146100 is about 14599.5239648421. The cubic root of 213146100 is about 597.3457758035.

Adding to 213146100 its reverse (1641312), we get a palindrome (214787412).

The spelling of 213146100 in words is "two hundred thirteen million, one hundred forty-six thousand, one hundred".