103212560 has 80 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 35550720.

The previous prime is 103212493. The next prime is 103212563. The reversal of 103212560 is 65212301.

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

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

It is not an unprimeable number, because it can be changed into a prime (103212563) 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 15 ways as a sum of consecutive naturals, for example, 13634 + ... + 19806.

It is an arithmetic number, because the mean of its divisors is an integer number (3445092).

Almost surely, 2^103212560 is an apocalyptic number.

103212560 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 103212560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

103212560 is an abundant number, since it is smaller than the sum of its proper divisors (172394800).

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

103212560 is a wasteful number, since it uses less digits than its factorization.

103212560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 103212560 is about 10159.3582474485. The cubic root of 103212560 is about 469.0770479722.

Adding to 103212560 its reverse (65212301), we get a palindrome (168424861).

The spelling of 103212560 in words is "one hundred three million, two hundred twelve thousand, five hundred sixty".