103212160 has 128 divisors (see below), whose sum is σ = 262180800. Its totient is φ = 38793216.

The previous prime is 103212103. The next prime is 103212163. The reversal of 103212160 is 61212301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (103212163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1243479 + ... + 1243561.

Almost surely, 2^103212160 is an apocalyptic number.

103212160 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 103212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131090400).

103212160 is an abundant number, since it is smaller than the sum of its proper divisors (158968640).

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

103212160 is an equidigital number, since it uses as much as digits as its factorization.

103212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 103212160 is about 10159.3385611466. The cubic root of 103212160 is about 469.0764420025.

Adding to 103212160 its reverse (61212301), we get a palindrome (164424461).

The spelling of 103212160 in words is "one hundred three million, two hundred twelve thousand, one hundred sixty".