103008072 has 32 divisors (see below), whose sum is σ = 263803680. Its totient is φ = 33498240.

The previous prime is 103008043. The next prime is 103008079. The reversal of 103008072 is 270800301.

It is a super-2 number, since 2×103008072² = 21221325794314368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103008079) 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, 51358 + ... + 53325.

It is an arithmetic number, because the mean of its divisors is an integer number (8243865).

Almost surely, 2^103008072 is an apocalyptic number.

103008072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103008072 is an abundant number, since it is smaller than the sum of its proper divisors (160795608).

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

103008072 is a wasteful number, since it uses less digits than its factorization.

103008072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104733 (or 104729 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 103008072 is about 10149.2892361978. The cubic root of 103008072 is about 468.7670597169.

Adding to 103008072 its reverse (270800301), we get a palindrome (373808373).

The spelling of 103008072 in words is "one hundred three million, eight thousand, seventy-two".