103513167 has 16 divisors (see below), whose sum is σ = 153617760. Its totient is φ = 68889600.

The previous prime is 103513139. The next prime is 103513171. The reversal of 103513167 is 761315301.

It is not a de Polignac number, because 103513167 - 2⁶ = 103513103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 103513167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103513177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14317 + ... + 20297.

It is an arithmetic number, because the mean of its divisors is an integer number (9601110).

Almost surely, 2^103513167 is an apocalyptic number.

103513167 is a deficient number, since it is larger than the sum of its proper divisors (50104593).

103513167 is an equidigital number, since it uses as much as digits as its factorization.

103513167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 103513167 is about 10174.1420768535. The cubic root of 103513167 is about 469.5320028405.

Adding to 103513167 its reverse (761315301), we get a palindrome (864828468).

The spelling of 103513167 in words is "one hundred three million, five hundred thirteen thousand, one hundred sixty-seven".