103213000 has 96 divisors (see below), whose sum is σ = 265781880. Its totient is φ = 37488000.

The previous prime is 103212979. The next prime is 103213009. The reversal of 103213000 is 312301.

It can be written as a sum of positive squares in 4 ways, for example, as 9084196 + 94128804 = 3014^2 + 9702^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (103213009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120574 + ... + 121426.

Almost surely, 2^103213000 is an apocalyptic number.

103213000 is a gapful number since it is divisible by the number (10) 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 103213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132890940).

103213000 is an abundant number, since it is smaller than the sum of its proper divisors (162568880).

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

103213000 is a wasteful number, since it uses less digits than its factorization.

103213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 103213000 is about 10159.3799023366. The cubic root of 103213000 is about 469.0777145371.

Adding to 103213000 its reverse (312301), we get a palindrome (103525301).

The spelling of 103213000 in words is "one hundred three million, two hundred thirteen thousand".