213258100 has 36 divisors (see below), whose sum is σ = 504842688. Its totient is φ = 77548000.

The previous prime is 213258079. The next prime is 213258107. The reversal of 213258100 is 1852312.

It is a super-2 number, since 2×213258100² = 90958034431220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213258107) 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, 95836 + ... + 98035.

It is an arithmetic number, because the mean of its divisors is an integer number (14023408).

Almost surely, 2^213258100 is an apocalyptic number.

213258100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213258100 is an abundant number, since it is smaller than the sum of its proper divisors (291584588).

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

213258100 is a wasteful number, since it uses less digits than its factorization.

213258100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193896 (or 193889 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 213258100 is about 14603.3592025944. The cubic root of 213258100 is about 597.4503848206.

The spelling of 213258100 in words is "two hundred thirteen million, two hundred fifty-eight thousand, one hundred".