103038007 has 16 divisors (see below), whose sum is σ = 112552960. Its totient is φ = 93988512.

The previous prime is 103037993. The next prime is 103038049. The reversal of 103038007 is 700830301.

It is a cyclic number.

It is not a de Polignac number, because 103038007 - 2¹⁵ = 103005239 is a prime.

103038007 is a modest number, since divided by 38007 gives 1030 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103038077) 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, 71698 + ... + 73120.

It is an arithmetic number, because the mean of its divisors is an integer number (7034560).

Almost surely, 2^103038007 is an apocalyptic number.

103038007 is a deficient number, since it is larger than the sum of its proper divisors (9514953).

103038007 is a wasteful number, since it uses less digits than its factorization.

103038007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 103038007 is about 10150.7638628824. The cubic root of 103038007 is about 468.8124645172.

Adding to 103038007 its reverse (700830301), we get a palindrome (803868308).

The spelling of 103038007 in words is "one hundred three million, thirty-eight thousand, seven".