103008000 has 288 divisors, whose sum is σ = 363504960. Its totient is φ = 25804800.

The previous prime is 103007999. The next prime is 103008043. The reversal of 103008000 is 800301.

It is a super-2 number, since 2×103008000² = 21221296128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2783982 + ... + 2784018.

It is an arithmetic number, because the mean of its divisors is an integer number (1262170).

Almost surely, 2^103008000 is an apocalyptic number.

103008000 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 103008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752480).

103008000 is an abundant number, since it is smaller than the sum of its proper divisors (260496960).

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

103008000 is an equidigital number, since it uses as much as digits as its factorization.

103008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 103008000 is about 10149.2856891507. The cubic root of 103008000 is about 468.7669504982.

Adding to 103008000 its reverse (800301), we get a palindrome (103808301).

The spelling of 103008000 in words is "one hundred three million, eight thousand".