213871104 has 160 divisors (see below), whose sum is σ = 644244480. Its totient is φ = 70917120.

The previous prime is 213871079. The next prime is 213871109. The reversal of 213871104 is 401178312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213871109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119649 + ... + 1119839.

It is an arithmetic number, because the mean of its divisors is an integer number (4026528).

Almost surely, 2^213871104 is an apocalyptic number.

213871104 is a gapful number since it is divisible by the number (24) 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 213871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322122240).

213871104 is an abundant number, since it is smaller than the sum of its proper divisors (430373376).

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

213871104 is an frugal number, since it uses more digits than its factorization.

213871104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 213871104 is about 14624.3326001565. The cubic root of 213871104 is about 598.0222882563.

The spelling of 213871104 in words is "two hundred thirteen million, eight hundred seventy-one thousand, one hundred four".