103213008 has 40 divisors (see below), whose sum is σ = 296260800. Its totient is φ = 34404192.

The previous prime is 103212979. The next prime is 103213009. The reversal of 103213008 is 800312301.

It is a super-3 number, since 3×103213008³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 119028 + ... + 119891.

It is an arithmetic number, because the mean of its divisors is an integer number (7406520).

Almost surely, 2^103213008 is an apocalyptic number.

103213008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103213008 is an abundant number, since it is smaller than the sum of its proper divisors (193047792).

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

103213008 is a wasteful number, since it uses less digits than its factorization.

103213008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238936 (or 238924 counting only the distinct ones).

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

The square root of 103213008 is about 10159.3802960614. The cubic root of 103213008 is about 469.0777266564.

Adding to 103213008 its reverse (800312301), we get a palindrome (903525309).

The spelling of 103213008 in words is "one hundred three million, two hundred thirteen thousand, eight".