103010960 has 80 divisors (see below), whose sum is σ = 264993456. Its totient is φ = 36993024.

The previous prime is 103010917. The next prime is 103010977. The reversal of 103010960 is 69010301.

It can be written as a sum of positive squares in 8 ways, for example, as 12988816 + 90022144 = 3604^2 + 9488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×103010960² = 21222515760243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37142 + ... + 39818.

Almost surely, 2^103010960 is an apocalyptic number.

103010960 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 103010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132496728).

103010960 is an abundant number, since it is smaller than the sum of its proper divisors (161982496).

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

103010960 is a wasteful number, since it uses less digits than its factorization.

103010960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 103010960 is about 10149.4315111734. The cubic root of 103010960 is about 468.7714405600.

The spelling of 103010960 in words is "one hundred three million, ten thousand, nine hundred sixty".