103076560 has 40 divisors (see below), whose sum is σ = 242044776. Its totient is φ = 40819200.

The previous prime is 103076557. The next prime is 103076569. The reversal of 103076560 is 65670301.

It can be written as a sum of positive squares in 4 ways, for example, as 38241856 + 64834704 = 6184^2 + 8052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103076569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1702 + ... + 14458.

Almost surely, 2^103076560 is an apocalyptic number.

103076560 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 103076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121022388).

103076560 is an abundant number, since it is smaller than the sum of its proper divisors (138968216).

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

103076560 is a wasteful number, since it uses less digits than its factorization.

103076560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12871 (or 12865 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 103076560 is about 10152.6627049262. The cubic root of 103076560 is about 468.8709279707.

The spelling of 103076560 in words is "one hundred three million, seventy-six thousand, five hundred sixty".