103513257 has 12 divisors (see below), whose sum is σ = 149967220. Its totient is φ = 68802048.

The previous prime is 103513253. The next prime is 103513301. The reversal of 103513257 is 752315301.

It can be written as a sum of positive squares in 2 ways, for example, as 19900521 + 83612736 = 4461^2 + 9144^2 .

It is not a de Polignac number, because 103513257 - 2² = 103513253 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103513257.

It is not an unprimeable number, because it can be changed into a prime (103513253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14032 + ... + 20097.

Almost surely, 2^103513257 is an apocalyptic number.

It is an amenable number.

103513257 is a deficient number, since it is larger than the sum of its proper divisors (46453963).

103513257 is a wasteful number, since it uses less digits than its factorization.

103513257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34472 (or 34469 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 103513257 is about 10174.1464998299. The cubic root of 103513257 is about 469.5321389194.

Adding to 103513257 its reverse (752315301), we get a palindrome (855828558).

The spelling of 103513257 in words is "one hundred three million, five hundred thirteen thousand, two hundred fifty-seven".