103155 has 24 divisors (see below), whose sum is σ = 185808. Its totient is φ = 48576.

The previous prime is 103141. The next prime is 103171. The reversal of 103155 is 551301.

103155 = 83² + 84² + ... + 95².

It is not a de Polignac number, because 103155 - 2⁵ = 103123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103155.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4474 + ... + 4496.

It is an arithmetic number, because the mean of its divisors is an integer number (7742).

2¹⁰³¹⁵⁵ is an apocalyptic number.

103155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103155 is a deficient number, since it is larger than the sum of its proper divisors (82653).

103155 is a wasteful number, since it uses less digits than its factorization.

103155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 103155 is about 321.1775210067. The cubic root of 103155 is about 46.8989832826.

Adding to 103155 its reverse (551301), we get a palindrome (654456).

The spelling of 103155 in words is "one hundred three thousand, one hundred fifty-five".