103116960 has 144 divisors (see below), whose sum is σ = 355871880. Its totient is φ = 27187200.

The previous prime is 103116947. The next prime is 103116973. The reversal of 103116960 is 69611301.

It is an interprime number because it is at equal distance from previous prime (103116947) and next prime (103116973).

It can be written as a sum of positive squares in 4 ways, for example, as 89189136 + 13927824 = 9444^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 145086 + ... + 145794.

Almost surely, 2^103116960 is an apocalyptic number.

103116960 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 103116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177935940).

103116960 is an abundant number, since it is smaller than the sum of its proper divisors (252754920).

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

103116960 is a wasteful number, since it uses less digits than its factorization.

103116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 103116960 is about 10154.6521358439. The cubic root of 103116960 is about 468.9321766557.

It can be divided in two parts, 10311 and 6960, that added together give a palindrome (17271).

The spelling of 103116960 in words is "one hundred three million, one hundred sixteen thousand, nine hundred sixty".