103111460 has 48 divisors (see below), whose sum is σ = 230728176. Its totient is φ = 38572032.

The previous prime is 103111457. The next prime is 103111471. The reversal of 103111460 is 64111301.

It can be written as a sum of positive squares in 8 ways, for example, as 7744 + 103103716 = 88^2 + 10154^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57944 + ... + 59696.

It is an arithmetic number, because the mean of its divisors is an integer number (4806837).

Almost surely, 2^103111460 is an apocalyptic number.

103111460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103111460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115364088).

103111460 is an abundant number, since it is smaller than the sum of its proper divisors (127616716).

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

103111460 is a wasteful number, since it uses less digits than its factorization.

103111460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 103111460 is about 10154.3813203956. The cubic root of 103111460 is about 468.9238392855.

Adding to 103111460 its reverse (64111301), we get a palindrome (167222761).

The spelling of 103111460 in words is "one hundred three million, one hundred eleven thousand, four hundred sixty".